2564860256 has 96 divisors (see below), whose sum is σ = 5911714368. Its totient is φ = 1072742400.

The previous prime is 2564860241. The next prime is 2564860267. The reversal of 2564860256 is 6520684652.

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, 1650776 + ... + 1652328.

It is an arithmetic number, because the mean of its divisors is an integer number (61580358).

Almost surely, 2^2564860256 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 2564860256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955857184).

2564860256 is an abundant number, since it is smaller than the sum of its proper divisors (3346854112).

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

2564860256 is a wasteful number, since it uses less digits than its factorization.

2564860256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The square root of 2564860256 is about 50644.4494095849. The cubic root of 2564860256 is about 1368.8459309730.

The spelling of 2564860256 in words is "two billion, five hundred sixty-four million, eight hundred sixty thousand, two hundred fifty-six".