2501524564 has 96 divisors (see below), whose sum is σ = 5635897344. Its totient is φ = 943125120.

The previous prime is 2501524559. The next prime is 2501524583. The reversal of 2501524564 is 4654251052.

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, 2586409 + ... + 2587375.

It is an arithmetic number, because the mean of its divisors is an integer number (58707264).

Almost surely, 2^2501524564 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 2501524564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817948672).

2501524564 is an abundant number, since it is smaller than the sum of its proper divisors (3134372780).

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

2501524564 is a wasteful number, since it uses less digits than its factorization.

2501524564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 2501524564 is about 50015.2433164130. The cubic root of 2501524564 is about 1357.4846391274.

The spelling of 2501524564 in words is "two billion, five hundred one million, five hundred twenty-four thousand, five hundred sixty-four".