2590880 has 24 divisors (see below), whose sum is σ = 6121332. Its totient is φ = 1036288.

The previous prime is 2590877. The next prime is 2590883. The reversal of 2590880 is 880952.

It is an interprime number because it is at equal distance from previous prime (2590877) and next prime (2590883).

It can be written as a sum of positive squares in 2 ways, for example, as 2421136 + 169744 = 1556^2 + 412^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2590883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7937 + ... + 8256.

2^2590880 is an apocalyptic number.

2590880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590880 is an abundant number, since it is smaller than the sum of its proper divisors (3530452).

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

2590880 is a wasteful number, since it uses less digits than its factorization.

2590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16208 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2590880 is about 1609.6210734207. The cubic root of 2590880 is about 137.3459210716.

The spelling of 2590880 in words is "two million, five hundred ninety thousand, eight hundred eighty".