2256768864 has 240 divisors, whose sum is σ = 7848640800. Its totient is φ = 622411776.

The previous prime is 2256768847. The next prime is 2256768869. The reversal of 2256768864 is 4688676522.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2256768864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256768869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524032 + ... + 528320.

It is an arithmetic number, because the mean of its divisors is an integer number (32702670).

Almost surely, 2^2256768864 is an apocalyptic number.

2256768864 is a gapful number since it is divisible by the number (24) 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 2256768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924320400).

2256768864 is an abundant number, since it is smaller than the sum of its proper divisors (5591871936).

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

2256768864 is a wasteful number, since it uses less digits than its factorization.

2256768864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4330 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2256768864 is about 47505.4614123471. The cubic root of 2256768864 is about 1311.6834143437.

The spelling of 2256768864 in words is "two billion, two hundred fifty-six million, seven hundred sixty-eight thousand, eight hundred sixty-four".