2565164 has 36 divisors (see below), whose sum is σ = 5467056. Its totient is φ = 1031424.

The previous prime is 2565161. The next prime is 2565191. The reversal of 2565164 is 4615652.

It is not an unprimeable number, because it can be changed into a prime (2565161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7934 + ... + 8250.

2^2565164 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 2565164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733528).

2565164 is an abundant number, since it is smaller than the sum of its proper divisors (2901892).

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

2565164 is a wasteful number, since it uses less digits than its factorization.

2565164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 2565164 is about 1601.6129370107. The cubic root of 2565164 is about 136.8899964109.

The spelling of 2565164 in words is "two million, five hundred sixty-five thousand, one hundred sixty-four".