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2040643800840 = 2335109283551281
BaseRepresentation
bin11101101100011111110…
…110010100111100001000
321020002020222022212012010
4131230133312110330020
5231413214303111330
64201243034415520
7300301025053161
oct35543766247410
97202228285163
102040643800840
11717483253a37
1228b5a75915a0
1311a57cb0a078
1470aa6766768
15381362853b0
hex1db1fd94f08

2040643800840 has 128 divisors (see below), whose sum is σ = 6199937884800. Its totient is φ = 537273077760.

The previous prime is 2040643800817. The next prime is 2040643800857. The reversal of 2040643800840 is 480083460402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3426000 + ... + 3977280.

It is an arithmetic number, because the mean of its divisors is an integer number (48437014725).

Almost surely, 22040643800840 is an apocalyptic number.

2040643800840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040643800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099968942400).

2040643800840 is an abundant number, since it is smaller than the sum of its proper divisors (4159294083960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2040643800840 is a wasteful number, since it uses less digits than its factorization.

2040643800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551687 (or 551683 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 2040643800840 in words is "two trillion, forty billion, six hundred forty-three million, eight hundred thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 283 327 436 545 566 654 849 872 1090 1132 1308 1415 1635 1698 2180 2264 2616 2830 3270 3396 4245 4360 5660 6540 6792 8490 11320 13080 16980 30847 33960 61694 92541 123388 154235 185082 246776 308470 370164 462705 551281 616940 740328 925410 1102562 1233880 1653843 1850820 2205124 2756405 3307686 3701640 4410248 5512810 6615372 8269215 11025620 13230744 16538430 22051240 33076860 60089629 66153720 120179258 156012523 180268887 240358516 300448145 312025046 360537774 468037569 480717032 600896290 624050092 721075548 780062615 901344435 936075138 1201792580 1248100184 1442151096 1560125230 1802688870 1872150276 2340187845 2403585160 3120250460 3605377740 3744300552 4680375690 6240500920 7210755480 9360751380 17005365007 18721502760 34010730014 51016095021 68021460028 85026825035 102032190042 136042920056 170053650070 204064380084 255080475105 340107300140 408128760168 510160950210 680214600280 1020321900420 2040643800840