2870816256 has 800 divisors, whose sum is σ = 11407841280. Its totient is φ = 696729600.

The previous prime is 2870816237. The next prime is 2870816293. The reversal of 2870816256 is 6526180782.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 92606961 + ... + 92606991.

Almost surely, 2^2870816256 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 2870816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703920640).

2870816256 is an abundant number, since it is smaller than the sum of its proper divisors (8537025024).

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

2870816256 is a wasteful number, since it uses less digits than its factorization.

2870816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2870816256 is about 53579.9986562150. The cubic root of 2870816256 is about 1421.2434152896.

The spelling of 2870816256 in words is "two billion, eight hundred seventy million, eight hundred sixteen thousand, two hundred fifty-six".