2813565456 has 200 divisors, whose sum is σ = 9054253824. Its totient is φ = 837630720.

The previous prime is 2813565437. The next prime is 2813565479. The reversal of 2813565456 is 6545653182.

2813565456 is a `hidden beast` number, since 2 + 8 + 135 + 65 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 519595 + ... + 524981.

Almost surely, 2^2813565456 is an apocalyptic number.

2813565456 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 2813565456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527126912).

2813565456 is an abundant number, since it is smaller than the sum of its proper divisors (6240688368).

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

2813565456 is a wasteful number, since it uses less digits than its factorization.

2813565456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5436 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2813565456 is about 53043.0528533191. The cubic root of 2813565456 is about 1411.7322665929.

The spelling of 2813565456 in words is "two billion, eight hundred thirteen million, five hundred sixty-five thousand, four hundred fifty-six".