2712966984 has 576 divisors, whose sum is σ = 10118384640. Its totient is φ = 638254080.

The previous prime is 2712966961. The next prime is 2712967039. The reversal of 2712966984 is 4896692172.

2712966984 is a `hidden beast` number, since 271 + 296 + 6 + 9 + 84 = 666.

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

Its product of digits (2612736) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2712966984.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73323414 + ... + 73323450.

It is an arithmetic number, because the mean of its divisors is an integer number (17566640).

Almost surely, 2^2712966984 is an apocalyptic number.

2712966984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712966984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059192320).

2712966984 is an abundant number, since it is smaller than the sum of its proper divisors (7405417656).

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

2712966984 is a wasteful number, since it uses less digits than its factorization.

2712966984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2712966984 is about 52086.1496369236. The cubic root of 2712966984 is about 1394.7022542560.

The spelling of 2712966984 in words is "two billion, seven hundred twelve million, nine hundred sixty-six thousand, nine hundred eighty-four".