2605656023256 has 128 divisors (see below), whose sum is σ = 7659838368000. Its totient is φ = 728201249280.

The previous prime is 2605656023227. The next prime is 2605656023261. The reversal of 2605656023256 is 6523206565062.

2605656023256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3493695 + ... + 4173393.

It is an arithmetic number, because the mean of its divisors is an integer number (59842487250).

Almost surely, 2^{2605656023256} is an apocalyptic number.

2605656023256 is a gapful number since it is divisible by the number (26) 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 2605656023256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829919184000).

2605656023256 is an abundant number, since it is smaller than the sum of its proper divisors (5054182344744).

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

2605656023256 is a wasteful number, since it uses less digits than its factorization.

2605656023256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680849 (or 680845 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 2605656023256 in words is "two trillion, six hundred five billion, six hundred fifty-six million, twenty-three thousand, two hundred fifty-six".