2812972736 has 112 divisors (see below), whose sum is σ = 6698772480. Its totient is φ = 1146562560.

The previous prime is 2812972691. The next prime is 2812972783. The reversal of 2812972736 is 6372792182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2812972736² = 15825631226958651392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817676 + ... + 821108.

Almost surely, 2^2812972736 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 2812972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349386240).

2812972736 is an abundant number, since it is smaller than the sum of its proper divisors (3885799744).

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

2812972736 is a wasteful number, since it uses less digits than its factorization.

2812972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3532 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The square root of 2812972736 is about 53037.4653994702. The cubic root of 2812972736 is about 1411.6331253990.

The spelling of 2812972736 in words is "two billion, eight hundred twelve million, nine hundred seventy-two thousand, seven hundred thirty-six".