2813159916 has 96 divisors (see below), whose sum is σ = 8346759680. Its totient is φ = 802654272.

The previous prime is 2813159903. The next prime is 2813159929. The reversal of 2813159916 is 6199513182.

2813159916 is a `hidden beast` number, since 28 + 1 + 31 + 599 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2813159903) and next prime (2813159929).

It is a super-3 number, since 3×2813159916³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660891 + ... + 665133.

Almost surely, 2^2813159916 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 2813159916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173379840).

2813159916 is an abundant number, since it is smaller than the sum of its proper divisors (5533599764).

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

2813159916 is a wasteful number, since it uses less digits than its factorization.

2813159916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5132 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 2813159916 is about 53039.2299717860. The cubic root of 2813159916 is about 1411.6644355292.

The spelling of 2813159916 in words is "two billion, eight hundred thirteen million, one hundred fifty-nine thousand, nine hundred sixteen".