2538961590 has 64 divisors (see below), whose sum is σ = 6652627200. Its totient is φ = 615027840.

The previous prime is 2538961567. The next prime is 2538961609. The reversal of 2538961590 is 951698352.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617361 + ... + 621459.

It is an arithmetic number, because the mean of its divisors is an integer number (103947300).

Almost surely, 2^2538961590 is an apocalyptic number.

2538961590 is an abundant number, since it is smaller than the sum of its proper divisors (4113665610).

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

2538961590 is a wasteful number, since it uses less digits than its factorization.

2538961590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997.

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 2538961590 is about 50388.1096093116. The cubic root of 2538961590 is about 1364.2230305686.

The spelling of 2538961590 in words is "two billion, five hundred thirty-eight million, nine hundred sixty-one thousand, five hundred ninety".