2538408564 has 48 divisors (see below), whose sum is σ = 6741584640. Its totient is φ = 825497280.

The previous prime is 2538408559. The next prime is 2538408623. The reversal of 2538408564 is 4658048352.

2538408564 is a `hidden beast` number, since 2 + 5 + 3 + 84 + 0 + 8 + 564 = 666.

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, 282204 + ... + 291059.

It is an arithmetic number, because the mean of its divisors is an integer number (140449680).

Almost surely, 2^2538408564 is an apocalyptic number.

It is an amenable number.

2538408564 is an abundant number, since it is smaller than the sum of its proper divisors (4203176076).

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

2538408564 is a wasteful number, since it uses less digits than its factorization.

2538408564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573317 (or 573309 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2538408564 is about 50382.6216467543. The cubic root of 2538408564 is about 1364.1239735903.

The spelling of 2538408564 in words is "two billion, five hundred thirty-eight million, four hundred eight thousand, five hundred sixty-four".