2509164 has 48 divisors (see below), whose sum is σ = 7436800. Its totient is φ = 716688.

The previous prime is 2509163. The next prime is 2509181. The reversal of 2509164 is 4619052.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904 + ... + 2415.

2^2509164 is an apocalyptic number.

It is an amenable number.

2509164 is an abundant number, since it is smaller than the sum of its proper divisors (4927636).

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

2509164 is a wasteful number, since it uses less digits than its factorization.

2509164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2509164 is about 1584.0340905422. The cubic root of 2509164 is about 135.8865114360.

The spelling of 2509164 in words is "two million, five hundred nine thousand, one hundred sixty-four".