2565312 has 56 divisors (see below), whose sum is σ = 7022592. Its totient is φ = 825600.

The previous prime is 2565289. The next prime is 2565319. The reversal of 2565312 is 2135652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2565319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5737 + ... + 6167.

2^2565312 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 2565312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511296).

2565312 is an abundant number, since it is smaller than the sum of its proper divisors (4457280).

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

2565312 is a wasteful number, since it uses less digits than its factorization.

2565312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 2565312 is about 1601.6591397673. The cubic root of 2565312 is about 136.8926290339.

The spelling of 2565312 in words is "two million, five hundred sixty-five thousand, three hundred twelve".