2568000960 has 672 divisors, whose sum is σ = 10955243520. Its totient is φ = 538804224.

The previous prime is 2568000959. The next prime is 2568000973. The reversal of 2568000960 is 690008652.

2568000960 is a `hidden beast` number, since 2 + 568 + 0 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20220417 + ... + 20220543.

Almost surely, 2^2568000960 is an apocalyptic number.

2568000960 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 2568000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477621760).

2568000960 is an abundant number, since it is smaller than the sum of its proper divisors (8387242560).

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

2568000960 is a wasteful number, since it uses less digits than its factorization.

2568000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2568000960 is about 50675.4473093233. The cubic root of 2568000960 is about 1369.4044261567.

The spelling of 2568000960 in words is "two billion, five hundred sixty-eight million, nine hundred sixty", and thus it is an aban number.