2592560256 has 256 divisors, whose sum is σ = 8356884480. Its totient is φ = 701337600.

The previous prime is 2592560239. The next prime is 2592560261. The reversal of 2592560256 is 6520652952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701511 + ... + 1703033.

It is an arithmetic number, because the mean of its divisors is an integer number (32644080).

Almost surely, 2^2592560256 is an apocalyptic number.

2592560256 is a gapful number since it is divisible by the number (26) 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 2592560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178442240).

2592560256 is an abundant number, since it is smaller than the sum of its proper divisors (5764324224).

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

2592560256 is a wasteful number, since it uses less digits than its factorization.

2592560256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 2592560256 is about 50917.1901817058. The cubic root of 2592560256 is about 1373.7560550795.

The spelling of 2592560256 in words is "two billion, five hundred ninety-two million, five hundred sixty thousand, two hundred fifty-six".