Search a number
-
+
2560488608 = 25595932287
BaseRepresentation
bin1001100010011101…
…1111010010100000
320121110000022001102
42120213133102200
520220441113413
61102024053532
7120310536236
oct23047372240
96543008042
102560488608
1110a4368a97
125b56042a8
1331a61a922
141a40b8956
15eebc8458
hex989df4a0

2560488608 has 48 divisors (see below), whose sum is σ = 5137292160. Its totient is φ = 1255873536.

The previous prime is 2560488571. The next prime is 2560488641. The reversal of 2560488608 is 8068840652.

It is a super-2 number, since 2×25604886082 = 13112203823395555328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1118441 + ... + 1120727.

It is an arithmetic number, because the mean of its divisors is an integer number (107026920).

Almost surely, 22560488608 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 2560488608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568646080).

2560488608 is an abundant number, since it is smaller than the sum of its proper divisors (2576803552).

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

2560488608 is a wasteful number, since it uses less digits than its factorization.

2560488608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The square root of 2560488608 is about 50601.2708140813. The cubic root of 2560488608 is about 1368.0677838807.

The spelling of 2560488608 in words is "two billion, five hundred sixty million, four hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 59 118 236 472 593 944 1186 1888 2287 2372 4574 4744 9148 9488 18296 18976 34987 36592 69974 73184 134933 139948 269866 279896 539732 559792 1079464 1119584 1356191 2158928 2712382 4317856 5424764 10849528 21699056 43398112 80015269 160030538 320061076 640122152 1280244304 2560488608