2510880 has 48 divisors (see below), whose sum is σ = 7910784. Its totient is φ = 669440.

The previous prime is 2510873. The next prime is 2510891. The reversal of 2510880 is 880152.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2510880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2136 + ... + 3095.

It is an arithmetic number, because the mean of its divisors is an integer number (164808).

2^2510880 is an apocalyptic number.

2510880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2510880 is an abundant number, since it is smaller than the sum of its proper divisors (5399904).

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

2510880 is a wasteful number, since it uses less digits than its factorization.

2510880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2510880 is about 1584.5756529746. The cubic root of 2510880 is about 135.9174816605.

The spelling of 2510880 in words is "two million, five hundred ten thousand, eight hundred eighty".