2531160 has 96 divisors (see below), whose sum is σ = 8424000. Its totient is φ = 658944.

The previous prime is 2531117. The next prime is 2531167. The reversal of 2531160 is 611352.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28396 + ... + 28484.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

2^2531160 is an apocalyptic number.

2531160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212000).

2531160 is an abundant number, since it is smaller than the sum of its proper divisors (5892840).

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

2531160 is a wasteful number, since it uses less digits than its factorization.

2531160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2531160 is about 1590.9619731471. The cubic root of 2531160 is about 136.2824292250.

The spelling of 2531160 in words is "two million, five hundred thirty-one thousand, one hundred sixty".