2712388896 has 768 divisors, whose sum is σ = 10590289920. Its totient is φ = 656916480.

The previous prime is 2712388867. The next prime is 2712388957. The reversal of 2712388896 is 6988832172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73307790 + ... + 73307826.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^2712388896 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 2712388896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295144960).

2712388896 is an abundant number, since it is smaller than the sum of its proper divisors (7877901024).

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

2712388896 is a wasteful number, since it uses less digits than its factorization.

2712388896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2712388896 is about 52080.5999965438. The cubic root of 2712388896 is about 1394.6031846254.

The spelling of 2712388896 in words is "two billion, seven hundred twelve million, three hundred eighty-eight thousand, eight hundred ninety-six".