2812924368 has 160 divisors (see below), whose sum is σ = 8430710400. Its totient is φ = 896845824.

The previous prime is 2812924349. The next prime is 2812924381. The reversal of 2812924368 is 8634292182.

2812924368 is a `hidden beast` number, since 281 + 2 + 9 + 2 + 4 + 368 = 666.

2812924368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1414671 + ... + 1416657.

It is an arithmetic number, because the mean of its divisors is an integer number (52691940).

Almost surely, 2^2812924368 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 2812924368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215355200).

2812924368 is an abundant number, since it is smaller than the sum of its proper divisors (5617786032).

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

2812924368 is a wasteful number, since it uses less digits than its factorization.

2812924368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2134 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2812924368 is about 53037.0094179527. The cubic root of 2812924368 is about 1411.6250345205.

The spelling of 2812924368 in words is "two billion, eight hundred twelve million, nine hundred twenty-four thousand, three hundred sixty-eight".