2806664256 has 280 divisors, whose sum is σ = 9201021984. Its totient is φ = 838840320.

The previous prime is 2806664233. The next prime is 2806664299. The reversal of 2806664256 is 6524666082.

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, 4732696 + ... + 4733288.

Almost surely, 2^2806664256 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 2806664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600510992).

2806664256 is an abundant number, since it is smaller than the sum of its proper divisors (6394357728).

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

2806664256 is a wasteful number, since it uses less digits than its factorization.

2806664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2806664256 is about 52977.9600966289. The cubic root of 2806664256 is about 1410.5770747872.

The spelling of 2806664256 in words is "two billion, eight hundred six million, six hundred sixty-four thousand, two hundred fifty-six".