2538560 has 28 divisors (see below), whose sum is σ = 6045708. Its totient is φ = 1015296.

The previous prime is 2538527. The next prime is 2538577. The reversal of 2538560 is 658352.

It can be written as a sum of positive squares in 2 ways, for example, as 817216 + 1721344 = 904^2 + 1312^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3647 + ... + 4286.

2^2538560 is an apocalyptic number.

2538560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538560 is an abundant number, since it is smaller than the sum of its proper divisors (3507148).

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

2538560 is an equidigital number, since it uses as much as digits as its factorization.

2538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2538560 is about 1593.2859128229. The cubic root of 2538560 is about 136.4151099952.

The spelling of 2538560 in words is "two million, five hundred thirty-eight thousand, five hundred sixty".