2712568320 has 720 divisors, whose sum is σ = 11886114240. Its totient is φ = 559595520.

The previous prime is 2712568303. The next prime is 2712568321. The reversal of 2712568320 is 238652172.

2712568320 is a `hidden beast` number, since 2 + 71 + 2 + 568 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712568321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19514811 + ... + 19514949.

It is an arithmetic number, because the mean of its divisors is an integer number (16508492).

Almost surely, 2^2712568320 is an apocalyptic number.

2712568320 is a gapful number since it is divisible by the number (20) 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 2712568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943057120).

2712568320 is an abundant number, since it is smaller than the sum of its proper divisors (9173545920).

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

2712568320 is a wasteful number, since it uses less digits than its factorization.

2712568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2712568320 is about 52082.3225288581. The cubic root of 2712568320 is about 1394.6339348576.

2712568320 divided by its product of nonzero digits (40320) gives a palindrome (67276).

The spelling of 2712568320 in words is "two billion, seven hundred twelve million, five hundred sixty-eight thousand, three hundred twenty".