2595456 has 64 divisors (see below), whose sum is σ = 7670400. Its totient is φ = 864000.

The previous prime is 2595451. The next prime is 2595473. The reversal of 2595456 is 6545952.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2595456.

It is not an unprimeable number, because it can be changed into a prime (2595451) 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, 3081 + ... + 3831.

It is an arithmetic number, because the mean of its divisors is an integer number (119850).

2^2595456 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 2595456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835200).

2595456 is an abundant number, since it is smaller than the sum of its proper divisors (5074944).

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

2595456 is an equidigital number, since it uses as much as digits as its factorization.

2595456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2595456 is about 1611.0418988965. The cubic root of 2595456 is about 137.4267334188.

It can be divided in two parts, 25 and 95456, that added together give a square (95481 = 309²).

The spelling of 2595456 in words is "two million, five hundred ninety-five thousand, four hundred fifty-six".