2856856464 has 360 divisors, whose sum is σ = 10239552960. Its totient is φ = 727626240.

The previous prime is 2856856423. The next prime is 2856856559. The reversal of 2856856464 is 4646586582.

2856856464 is a `hidden beast` number, since 28 + 56 + 8 + 564 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2856856464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7195914 + ... + 7196310.

Almost surely, 2^2856856464 is an apocalyptic number.

2856856464 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 2856856464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119776480).

2856856464 is an abundant number, since it is smaller than the sum of its proper divisors (7382696496).

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

2856856464 is a wasteful number, since it uses less digits than its factorization.

2856856464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 2856856464 is about 53449.5693528021. The cubic root of 2856856464 is about 1418.9359985556.

The spelling of 2856856464 in words is "two billion, eight hundred fifty-six million, eight hundred fifty-six thousand, four hundred sixty-four".