2816913456 has 320 divisors, whose sum is σ = 9650176000. Its totient is φ = 769824000.

The previous prime is 2816913401. The next prime is 2816913461. The reversal of 2816913456 is 6543196182.

2816913456 is a `hidden beast` number, since 28 + 169 + 13 + 456 = 666.

Its product of digits (311040) is a multiple of the sum of its prime factors (405).

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, 14155245 + ... + 14155443.

It is an arithmetic number, because the mean of its divisors is an integer number (30156800).

Almost surely, 2^2816913456 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 2816913456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825088000).

2816913456 is an abundant number, since it is smaller than the sum of its proper divisors (6833262544).

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

2816913456 is a wasteful number, since it uses less digits than its factorization.

2816913456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2816913456 is about 53074.6027399170. The cubic root of 2816913456 is about 1412.2920078635.

The spelling of 2816913456 in words is "two billion, eight hundred sixteen million, nine hundred thirteen thousand, four hundred fifty-six".