2820914856 has 256 divisors, whose sum is σ = 8758886400. Its totient is φ = 836656128.

The previous prime is 2820914821. The next prime is 2820914861. The reversal of 2820914856 is 6584190282.

2820914856 is a `hidden beast` number, since 2 + 82 + 0 + 91 + 485 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10725781 + ... + 10726043.

It is an arithmetic number, because the mean of its divisors is an integer number (34214400).

Almost surely, 2^2820914856 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 2820914856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379443200).

2820914856 is an abundant number, since it is smaller than the sum of its proper divisors (5937971544).

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

2820914856 is a wasteful number, since it uses less digits than its factorization.

2820914856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2820914856 is about 53112.2853584743. The cubic root of 2820914856 is about 1412.9604074715.

The spelling of 2820914856 in words is "two billion, eight hundred twenty million, nine hundred fourteen thousand, eight hundred fifty-six".