2506564 has 12 divisors (see below), whose sum is σ = 4427500. Its totient is φ = 1241568.

The previous prime is 2506561. The next prime is 2506571. The reversal of 2506564 is 4656052.

2506564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 1800964 = 840^2 + 1342^2 .

It is not an unprimeable number, because it can be changed into a prime (2506561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2439 + ... + 3310.

2^2506564 is an apocalyptic number.

It is an amenable number.

2506564 is a deficient number, since it is larger than the sum of its proper divisors (1920936).

2506564 is a wasteful number, since it uses less digits than its factorization.

2506564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2506564 is about 1583.2131884241. The cubic root of 2506564 is about 135.8395599372.

The spelling of 2506564 in words is "two million, five hundred six thousand, five hundred sixty-four".