2565920 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 838656.

The previous prime is 2565917. The next prime is 2565947. The reversal of 2565920 is 295652.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32441 + ... + 32519.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2565920 is an apocalyptic number.

2565920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2565920 is an abundant number, since it is smaller than the sum of its proper divisors (4691680).

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

2565920 is a wasteful number, since it uses less digits than its factorization.

2565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 2565920 is about 1601.8489317036. The cubic root of 2565920 is about 136.9034430719.

The spelling of 2565920 in words is "two million, five hundred sixty-five thousand, nine hundred twenty".