2816871456 has 192 divisors, whose sum is σ = 8970393600. Its totient is φ = 756535296.

The previous prime is 2816871443. The next prime is 2816871461. The reversal of 2816871456 is 6541786182.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 910360 + ... + 913448.

It is an arithmetic number, because the mean of its divisors is an integer number (46720800).

Almost surely, 2^2816871456 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 2816871456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485196800).

2816871456 is an abundant number, since it is smaller than the sum of its proper divisors (6153522144).

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

2816871456 is a wasteful number, since it uses less digits than its factorization.

2816871456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3183 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 2816871456 is about 53074.2070689709. The cubic root of 2816871456 is about 1412.2849887673.

The spelling of 2816871456 in words is "two billion, eight hundred sixteen million, eight hundred seventy-one thousand, four hundred fifty-six".