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2560080688 = 241123231887
BaseRepresentation
bin1001100010010111…
…1011101100110000
320121102020120111021
42120211323230300
520220340040223
61102011225224
7120304220044
oct23045735460
96542216437
102560080688
1110a410a570
125b5448214
1331a507059
141a4010024
15eeb4765d
hex9897bb30

2560080688 has 120 divisors (see below), whose sum is σ = 5845625856. Its totient is φ = 1075958400.

The previous prime is 2560080671. The next prime is 2560080689. The reversal of 2560080688 is 8860800652.

It is a happy number.

2560080688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2560080689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2885781 + ... + 2886667.

Almost surely, 22560080688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560080688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922812928).

2560080688 is an abundant number, since it is smaller than the sum of its proper divisors (3285545168).

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

2560080688 is a wasteful number, since it uses less digits than its factorization.

2560080688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 2560080688 is about 50597.2399247232. The cubic root of 2560080688 is about 1367.9951295382.

The spelling of 2560080688 in words is "two billion, five hundred sixty million, eighty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 92 124 176 184 248 253 341 368 496 506 529 682 713 887 1012 1058 1364 1426 1774 2024 2116 2728 2852 3548 4048 4232 5456 5704 5819 7096 7843 8464 9757 11408 11638 14192 15686 16399 19514 20401 23276 27497 31372 32798 39028 40802 46552 54994 62744 65596 78056 81604 93104 109988 125488 131192 156112 163208 180389 219976 224411 262384 302467 326416 360778 439952 448822 469223 604934 632431 721556 897644 938446 1209868 1264862 1443112 1795288 1876892 2419736 2529724 2886224 3590576 3753784 4839472 5059448 5161453 6956741 7507568 10118896 10322906 13913482 14545913 20645812 27826964 29091826 41291624 55653928 58183652 82583248 111307856 116367304 160005043 232734608 320010086 640020172 1280040344 2560080688