2531920 has 20 divisors (see below), whose sum is σ = 5886900. Its totient is φ = 1012736.

The previous prime is 2531917. The next prime is 2531923. The reversal of 2531920 is 291352.

It is an interprime number because it is at equal distance from previous prime (2531917) and next prime (2531923).

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 913936 = 1272^2 + 956^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2531891 and 2531900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531923) 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, 15745 + ... + 15904.

It is an arithmetic number, because the mean of its divisors is an integer number (294345).

2^2531920 is an apocalyptic number.

2531920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531920 is an abundant number, since it is smaller than the sum of its proper divisors (3354980).

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

2531920 is a wasteful number, since it uses less digits than its factorization.

2531920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31662 (or 31656 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2531920 is about 1591.2008044241. The cubic root of 2531920 is about 136.2960678046.

The spelling of 2531920 in words is "two million, five hundred thirty-one thousand, nine hundred twenty".