2712723984 has 60 divisors (see below), whose sum is σ = 7661553900. Its totient is φ = 895940352.

The previous prime is 2712723977. The next prime is 2712723997. The reversal of 2712723984 is 4893272172.

2712723984 is a `hidden beast` number, since 271 + 272 + 39 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 741363984 + 1971360000 = 27228^2 + 44400^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70719 + ... + 102110.

It is an arithmetic number, because the mean of its divisors is an integer number (127692565).

Almost surely, 2^2712723984 is an apocalyptic number.

2712723984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2712723984 is an abundant number, since it is smaller than the sum of its proper divisors (4948829916).

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

2712723984 is a wasteful number, since it uses less digits than its factorization.

2712723984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172952 (or 172943 counting only the distinct ones).

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

The square root of 2712723984 is about 52083.8169108217. The cubic root of 2712723984 is about 1394.6606119300.

The spelling of 2712723984 in words is "two billion, seven hundred twelve million, seven hundred twenty-three thousand, nine hundred eighty-four".