2582560 has 24 divisors (see below), whose sum is σ = 6101676. Its totient is φ = 1032960.

The previous prime is 2582551. The next prime is 2582581. The reversal of 2582560 is 652852.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 35344 = 1596^2 + 188^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its 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, 7911 + ... + 8230.

2^2582560 is an apocalyptic number.

2582560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582560 is an abundant number, since it is smaller than the sum of its proper divisors (3519116).

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

2582560 is a wasteful number, since it uses less digits than its factorization.

2582560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16156 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2582560 is about 1607.0345360321. The cubic root of 2582560 is about 137.1987454092.

The spelling of 2582560 in words is "two million, five hundred eighty-two thousand, five hundred sixty".