2508560 has 20 divisors (see below), whose sum is σ = 5832588. Its totient is φ = 1003392.

The previous prime is 2508559. The next prime is 2508581. The reversal of 2508560 is 658052.

It can be written as a sum of positive squares in 2 ways, for example, as 1401856 + 1106704 = 1184^2 + 1052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) 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, 15599 + ... + 15758.

2^2508560 is an apocalyptic number.

2508560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2508560 is an abundant number, since it is smaller than the sum of its proper divisors (3324028).

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

2508560 is a wasteful number, since it uses less digits than its factorization.

2508560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31370 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2508560 is about 1583.8434266050. The cubic root of 2508560 is about 135.8756071349.

The spelling of 2508560 in words is "two million, five hundred eight thousand, five hundred sixty".