2716088256000 has 960 divisors, whose sum is σ = 11323240980480. Its totient is φ = 612889804800.

The previous prime is 2716088255977. The next prime is 2716088256017. The reversal of 2716088256000 is 6528806172.

2716088256000 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 0 + 8 + 82 + 560 + 0 + 0 = 666.

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

It is a super-2 number, since 2×2716088256000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318523737 + ... + 318532263.

It is an arithmetic number, because the mean of its divisors is an integer number (11795042688).

Almost surely, 2^{2716088256000} is an apocalyptic number.

2716088256000 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 2716088256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661620490240).

2716088256000 is an abundant number, since it is smaller than the sum of its proper divisors (8607152724480).

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

2716088256000 is an equidigital number, since it uses as much as digits as its factorization.

2716088256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2716088256000 in words is "two trillion, seven hundred sixteen billion, eighty-eight million, two hundred fifty-six thousand".