2716560000 has 960 divisors, whose sum is σ = 12427272000. Its totient is φ = 564480000.

The previous prime is 2716559987. The next prime is 2716560043. The reversal of 2716560000 is 656172.

2716560000 is a `hidden beast` number, since 2 + 7 + 1 + 656 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246959995 + ... + 246960005.

It is an arithmetic number, because the mean of its divisors is an integer number (12945075).

Almost surely, 2^2716560000 is an apocalyptic number.

2716560000 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 2716560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213636000).

2716560000 is an abundant number, since it is smaller than the sum of its proper divisors (9710712000).

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

2716560000 is an equidigital number, since it uses as much as digits as its factorization.

2716560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2716560000 is about 52120.6293131616. The cubic root of 2716560000 is about 1395.3176907776.

The spelling of 2716560000 in words is "two billion, seven hundred sixteen million, five hundred sixty thousand".