2565368 has 32 divisors (see below), whose sum is σ = 5488560. Its totient is φ = 1113600.

The previous prime is 2565349. The next prime is 2565377. The reversal of 2565368 is 8635652.

2565368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2565368² = 13162225950848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1043 + ... + 2493.

2^2565368 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 2565368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280).

2565368 is an abundant number, since it is smaller than the sum of its proper divisors (2923192).

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

2565368 is a wasteful number, since it uses less digits than its factorization.

2565368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1483 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 2565368 is about 1601.6766215438. The cubic root of 2565368 is about 136.8936251352.

The spelling of 2565368 in words is "two million, five hundred sixty-five thousand, three hundred sixty-eight".