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2681524320 = 253513214229
BaseRepresentation
bin1001111111010100…
…1101000001100000
320220212202112211120
42133311031001200
520442432234240
61122030212240
7123310403106
oct23765150140
96825675746
102681524320
111156717a02
1262a054080
133397180a7
141b61c3c76
1510a635ad0
hex9fd4d060

2681524320 has 96 divisors (see below), whose sum is σ = 8455194720. Its totient is φ = 714362880.

The previous prime is 2681524267. The next prime is 2681524331. The reversal of 2681524320 is 234251862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631966 + ... + 636194.

It is an arithmetic number, because the mean of its divisors is an integer number (88074945).

Almost surely, 22681524320 is an apocalyptic number.

2681524320 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 2681524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227597360).

2681524320 is an abundant number, since it is smaller than the sum of its proper divisors (5773670400).

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

2681524320 is a wasteful number, since it uses less digits than its factorization.

2681524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2681524320 is about 51783.4367341527. The cubic root of 2681524320 is about 1389.2932107077.

The spelling of 2681524320 in words is "two billion, six hundred eighty-one million, five hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1321 2642 3963 4229 5284 6605 7926 8458 10568 12687 13210 15852 16916 19815 21136 21145 25374 26420 31704 33832 39630 42272 42290 50748 52840 63408 63435 67664 79260 84580 101496 105680 126816 126870 135328 158520 169160 202992 211360 253740 317040 338320 405984 507480 634080 676640 1014960 2029920 5586509 11173018 16759527 22346036 27932545 33519054 44692072 55865090 67038108 83797635 89384144 111730180 134076216 167595270 178768288 223460360 268152432 335190540 446920720 536304864 670381080 893841440 1340762160 2681524320