2551164 has 72 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 660000.

The previous prime is 2551127. The next prime is 2551169. The reversal of 2551164 is 4611552.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10039 + ... + 10289.

It is an arithmetic number, because the mean of its divisors is an integer number (104272).

2^2551164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2551164 is an abundant number, since it is smaller than the sum of its proper divisors (4956420).

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

2551164 is a wasteful number, since it uses less digits than its factorization.

2551164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 2551164 is about 1597.2363632224. The cubic root of 2551164 is about 136.6405052707.

The spelling of 2551164 in words is "two million, five hundred fifty-one thousand, one hundred sixty-four".