2716408080 has 240 divisors, whose sum is σ = 9364353024. Its totient is φ = 705438720.

The previous prime is 2716408069. The next prime is 2716408103. The reversal of 2716408080 is 808046172.

2716408080 is a `hidden beast` number, since 2 + 7 + 1 + 640 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5577597 + ... + 5578083.

Almost surely, 2^2716408080 is an apocalyptic number.

2716408080 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 2716408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682176512).

2716408080 is an abundant number, since it is smaller than the sum of its proper divisors (6647944944).

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

2716408080 is a wasteful number, since it uses less digits than its factorization.

2716408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2716408080 is about 52119.1719043962. The cubic root of 2716408080 is about 1395.2916798649.

The spelling of 2716408080 in words is "two billion, seven hundred sixteen million, four hundred eight thousand, eighty".