2720715264 has 320 divisors, whose sum is σ = 8642304000. Its totient is φ = 843042816.

The previous prime is 2720715251. The next prime is 2720715271. The reversal of 2720715264 is 4625170272.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13671837 + ... + 13672035.

It is an arithmetic number, because the mean of its divisors is an integer number (27007200).

Almost surely, 2^2720715264 is an apocalyptic number.

2720715264 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 2720715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321152000).

2720715264 is an abundant number, since it is smaller than the sum of its proper divisors (5921588736).

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

2720715264 is a wasteful number, since it uses less digits than its factorization.

2720715264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2720715264 is about 52160.4760714470. The cubic root of 2720715264 is about 1396.0287566975.

The spelling of 2720715264 in words is "two billion, seven hundred twenty million, seven hundred fifteen thousand, two hundred sixty-four".