What is the factorial of 2000?


2000 Factorial

Here we will show you how to calculate the factorial of 2000 (aka 2000 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 2000 can be written as 2000 followed by an exclamation mark like this: 2000!

Factorial of 2000 means that you multiply 2000 by every number below it. Therefore, you calculate the factorial of 2000 by multiplying 2000 by 1999, then by 1998, and so on all the way down to 1. In other words, we calculate 2000 × 1999 × 1998 × ... × 1 to get 2000 factorial.


The answer to 2000 factorial (2000!) contains 5736 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 2000 factorial:

3.3162750924 × 105735

The answer above is also sometimes written as 3.3162750924e+5735. Regardless, it means that the approximate answer to 2000! is 33162750924 followed by 5725 more digits.


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Like we promised, below is the exact answer to 2000 factorial (2000!) with all 5736 digits:

33162750924506332411753933805763240382811172081057803945719354370603807790560082240027323085973259225540235294122583410925808481741529379613138663352634368890563405855616394060511725257187064785639354404540524395746703767410872297043468415834375243158087753364512748799543685924740803240894656150723325065279765575717967153671868935905611281587160171723265715611000421401242043384257371270017588354779689992128352899666585340557985490365736635013338655040117201215263548803826815215224692099520603156441856548067594649705155228820523489999572645081406553667896953210146762267133202683155220519449446161823927520402652972263150257475204829606475092739416585628353177957448287631459645037399132733417726360885249009350662161014445970941270782131373256383157230201994991495831647094277447387032798554967429860883937632682415247883438746959582925774057453983750158581546813629421794997239981359948101655656387603422731291225038470987290962662246197107660593155020189513558316535787149229091677904970224709461193760778516511068443225590564873626653037738465039078804952460071254940261456607225413630275491367158340609783107494528221749078134770969324155611133982805135860069059461996525731074117708151992256451677857145805660218565476095237746301667942248844448579834980154803262082989096585738175188861937669282827988845358463989659421395298446529109200910371004614944991582858805076186792494638518087987451289140801934007462592005709872957859964365065589561241023101869055606030878362911050560124590899838341079936790205207685866918347790655854470014869265692463193333761242809742006717284636193924969862846871999345039388936727048712717273456170035486747750910295552395354794110742191330135681954109194146276641754216158762526285808980122244389024867718205495941575199170127176757178749586161966593187885514183578209260148207177733173539603430496908207058995870138198081303559016076290838857456128821769813618248357673921830311841471913398689284234400077924669120976673165143349443747323563657204884447833185494169303012453167623274536787932284747382448509228313995250973250597912703104768360148119110222925337269769382367005756561240029057604385285290293760647953345817966612383960526254910718666386935476610845504619810208405063582767652658949239324951968595417167241932953068367349554400458635983816104305944982662753060542358075589410827888042782595108988063541056791795097401778068878286981021901090014835206168888372025031066592206860148364983053278208826353655804360568678128416921713304714117631217589577712263758475312351723099054982921013468730420589801441806387538266416989770423775940628087725370226542653058086237930142267582118714350291863763634030017325181826207603974736959520264263236414544685111342720215045838385101013694131303485622191663162389263276581535501127630782505996915882453345743543786368317373067329658935519969445823687350883027865770087974988999234355556624068283476378468518384497364887395247510322422211056120129582965719136810869382547576411888687934672519124619215114473883626959164367249007165342822815266124780046392254494517036372362794075778454209104830546165619062217428698160297332404652020199281385488268195100728286970107073750092766648750217477537274235150874824672027417003158112280589617812216074743794751095062093855667458125251837668215771280786149925587613235295042234638787895485088576446613629039412766597804420209228133798711590089626487894241321045492500356667063290944157937298674342147050721358893201958072306478149842952259558901275482397177332572291032576092979073329954505638836264047465024508080946911607263208749414397300070411141859553027882735765481918200244969776111134631819528276159096418979095811733862720608891043294524497853514701411244214305548608963957837834732532359576329143892528839398625627324286277556314046383038916842163311344563630957196597846633855149231619633567535513840342580416291983782226690952177015317533873028461084188655413832917195133211789572854166208482368281793251293123752154192697026970329947764382338648300887153037340566638386829408848773072176226884902308493466119426018027261380210800507821574100605484820134785957810277070778065551277254050167433239606625321641500480877240304761192903221015438535313868553848642557079079534117651957118868373988068389579274374968349814292329219630977709014393684365533335930782018131299345502420604456334057860696247196150560339489952332180043435996725662392719643540287205547501207985433197067479731312681352365374408566226320676883758513278289625233328434181297762469707954343600349234315923967476363891211528540665778364621391124744705125522634270123952701812704549164804593224810885867460095230679317596775558101167994000524980630376314134441226903703498735579991600925924807505248554156826628176081544630830540667741263012444186420410837311909313000115447056027777372437806718889977085105672727678124719883285769584421758889516046786820481001004781646235822083853248813427083407986848663216272020882330872781908537884546913155602172887312190739396520926022910147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What is the factorial of 2001?
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