2712763872 has 720 divisors, whose sum is σ = 10511690112. Its totient is φ = 679311360.

The previous prime is 2712763861. The next prime is 2712763897. The reversal of 2712763872 is 2783672172.

2712763872 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 7 + 638 + 7 + 2 = 666.

2712763872 is digitally balanced in base 2 and base 4, because in such bases 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 119 ways as a sum of consecutive naturals, for example, 51184198 + ... + 51184250.

Almost surely, 2^2712763872 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 2712763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255845056).

2712763872 is an abundant number, since it is smaller than the sum of its proper divisors (7798926240).

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

2712763872 is a wasteful number, since it uses less digits than its factorization.

2712763872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 2712763872 is about 52084.1998306588. The cubic root of 2712763872 is about 1394.6674476113.

The spelling of 2712763872 in words is "two billion, seven hundred twelve million, seven hundred sixty-three thousand, eight hundred seventy-two".