2716083972 has 288 divisors, whose sum is σ = 8833843200. Its totient is φ = 685843200.

The previous prime is 2716083971. The next prime is 2716083983. The reversal of 2716083972 is 2793806172.

2716083972 is a `hidden beast` number, since 2 + 7 + 1 + 608 + 39 + 7 + 2 = 666.

It is a super-2 number, since 2×2716083972² = 14754224285910593568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2716083971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4304097 + ... + 4304727.

Almost surely, 2^2716083972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2716083972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416921600).

2716083972 is an abundant number, since it is smaller than the sum of its proper divisors (6117759228).

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

2716083972 is a wasteful number, since it uses less digits than its factorization.

2716083972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2716083972 is about 52116.0625143535. The cubic root of 2716083972 is about 1395.2361846215.

The spelling of 2716083972 in words is "two billion, seven hundred sixteen million, eighty-three thousand, nine hundred seventy-two".