2279993468256 has 576 divisors, whose sum is σ = 8363019571200. Its totient is φ = 600453762048.

The previous prime is 2279993468167. The next prime is 2279993468299. The reversal of 2279993468256 is 6528643999722.

It is a happy number.

2279993468256 is a `hidden beast` number, since 2 + 2 + 79 + 9 + 93 + 468 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29723905 + ... + 29800511.

It is an arithmetic number, because the mean of its divisors is an integer number (14519131200).

Almost surely, 2^{2279993468256} 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 2279993468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181509785600).

2279993468256 is an abundant number, since it is smaller than the sum of its proper divisors (6083026102944).

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

2279993468256 is a wasteful number, since it uses less digits than its factorization.

2279993468256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76696 (or 76675 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 2279993468256 in words is "two trillion, two hundred seventy-nine billion, nine hundred ninety-three million, four hundred sixty-eight thousand, two hundred fifty-six".