2712320064 has 42 divisors (see below), whose sum is σ = 7774377390. Its totient is φ = 904106496.

The previous prime is 2712320047. The next prime is 2712320069. The reversal of 2712320064 is 4600232172.

It can be written as a sum of positive squares in only one way, i.e., 2559550464 + 152769600 = 50592^2 + 12360^2 .

It is not an unprimeable number, because it can be changed into a prime (2712320069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2353869 + ... + 2355020.

Almost surely, 2^2712320064 is an apocalyptic number.

2712320064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2712320064 is an abundant number, since it is smaller than the sum of its proper divisors (5062057326).

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

2712320064 is a wasteful number, since it uses less digits than its factorization.

2712320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708907 (or 4708894 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2712320064 is about 52079.9391704714. The cubic root of 2712320064 is about 1394.5913876275.

It can be divided in two parts, 27123200 and 64, that added together give a square (27123264 = 5208²).

The spelling of 2712320064 in words is "two billion, seven hundred twelve million, three hundred twenty thousand, sixty-four".