2551160 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 939136.

The previous prime is 2551127. The next prime is 2551169. The reversal of 2551160 is 611552.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43211 + ... + 43269.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

2^2551160 is an apocalyptic number.

2551160 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 2551160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2551160 is an abundant number, since it is smaller than the sum of its proper divisors (3669640).

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

2551160 is a wasteful number, since it uses less digits than its factorization.

2551160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 2551160 is about 1597.2351110591. The cubic root of 2551160 is about 136.6404338572.

The spelling of 2551160 in words is "two million, five hundred fifty-one thousand, one hundred sixty".