2565792 has 72 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 835200.

The previous prime is 2565791. The next prime is 2565799. The reversal of 2565792 is 2975652.

2565792 is a `hidden beast` number, since 2 + 565 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2565791) 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, 16917 + ... + 17067.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

2^2565792 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 2565792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2565792 is an abundant number, since it is smaller than the sum of its proper divisors (4903488).

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

2565792 is a wasteful number, since it uses less digits than its factorization.

2565792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2565792 is about 1601.8089773753. The cubic root of 2565792 is about 136.9011665743.

The spelling of 2565792 in words is "two million, five hundred sixty-five thousand, seven hundred ninety-two".