2564724504 has 128 divisors (see below), whose sum is σ = 6798225600. Its totient is φ = 805109760.

The previous prime is 2564724497. The next prime is 2564724511. The reversal of 2564724504 is 4054274652.

2564724504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2564724497) and next prime (2564724511).

It is a congruent number.

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, 8193852 + ... + 8194164.

Almost surely, 2^2564724504 is an apocalyptic number.

2564724504 is a gapful number since it is divisible by the number (24) 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 2564724504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399112800).

2564724504 is an abundant number, since it is smaller than the sum of its proper divisors (4233501096).

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

2564724504 is a wasteful number, since it uses less digits than its factorization.

2564724504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The square root of 2564724504 is about 50643.1091462600. The cubic root of 2564724504 is about 1368.8217806187.

The spelling of 2564724504 in words is "two billion, five hundred sixty-four million, seven hundred twenty-four thousand, five hundred four".