2813139456 has 80 divisors (see below), whose sum is σ = 7512912000. Its totient is φ = 935395328.

The previous prime is 2813139451. The next prime is 2813139463. The reversal of 2813139456 is 6549313182.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2813139451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 687625 + ... + 691703.

It is an arithmetic number, because the mean of its divisors is an integer number (93911400).

Almost surely, 2^2813139456 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 2813139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756456000).

2813139456 is an abundant number, since it is smaller than the sum of its proper divisors (4699772544).

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

2813139456 is an equidigital number, since it uses as much as digits as its factorization.

2813139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4533 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 2813139456 is about 53039.0370953320. The cubic root of 2813139456 is about 1411.6610131945.

The spelling of 2813139456 in words is "two billion, eight hundred thirteen million, one hundred thirty-nine thousand, four hundred fifty-six".