2812747392 has 288 divisors, whose sum is σ = 10142348580. Its totient is φ = 741629952.

The previous prime is 2812747387. The next prime is 2812747423. The reversal of 2812747392 is 2937472182.

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 323136576 = 49896^2 + 17976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 731908 + ... + 735740.

Almost surely, 2^2812747392 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 2812747392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071174290).

2812747392 is an abundant number, since it is smaller than the sum of its proper divisors (7329601188).

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

2812747392 is a wasteful number, since it uses less digits than its factorization.

2812747392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3858 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2812747392 is about 53035.3409718463. The cubic root of 2812747392 is about 1411.5954296255.

The spelling of 2812747392 in words is "two billion, eight hundred twelve million, seven hundred forty-seven thousand, three hundred ninety-two".