2540880 has 60 divisors (see below), whose sum is σ = 8535540. Its totient is φ = 677376.

The previous prime is 2540869. The next prime is 2540887. The reversal of 2540880 is 880452.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 2005056 = 732^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045 + ... + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (142259).

2^2540880 is an apocalyptic number.

2540880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540880 is an abundant number, since it is smaller than the sum of its proper divisors (5994660).

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

2540880 is a wasteful number, since it uses less digits than its factorization.

2540880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2540880 is about 1594.0138016968. The cubic root of 2540880 is about 136.4566541111.

The spelling of 2540880 in words is "two million, five hundred forty thousand, eight hundred eighty".