2591160 has 128 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 576000.

The previous prime is 2591153. The next prime is 2591167. The reversal of 2591160 is 611952.

2591160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2591153) and next prime (2591167).

It is a super-2 number, since 2×2591160² = 13428220291200, which contains 22 as substring.

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 2591160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17085 + ... + 17235.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2591160 is an apocalyptic number.

2591160 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 2591160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2591160 is an abundant number, since it is smaller than the sum of its proper divisors (6601800).

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

2591160 is a wasteful number, since it uses less digits than its factorization.

2591160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2591160 is about 1609.7080480634. The cubic root of 2591160 is about 137.3508686148.

The spelling of 2591160 in words is "two million, five hundred ninety-one thousand, one hundred sixty".