2564353504 has 48 divisors (see below), whose sum is σ = 5176942848. Its totient is φ = 1249702272.

The previous prime is 2564353471. The next prime is 2564353541. The reversal of 2564353504 is 4053534652.

2564353504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 750969 + ... + 754375.

It is an arithmetic number, because the mean of its divisors is an integer number (107852976).

Almost surely, 2^2564353504 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 2564353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588471424).

2564353504 is an abundant number, since it is smaller than the sum of its proper divisors (2612589344).

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

2564353504 is a wasteful number, since it uses less digits than its factorization.

2564353504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

The square root of 2564353504 is about 50639.4461265129. The cubic root of 2564353504 is about 1368.7557751708.

The spelling of 2564353504 in words is "two billion, five hundred sixty-four million, three hundred fifty-three thousand, five hundred four".