2716158816 has 288 divisors, whose sum is σ = 9579705408. Its totient is φ = 712212480.

The previous prime is 2716158743. The next prime is 2716158827. The reversal of 2716158816 is 6188516172.

2716158816 is a `hidden beast` number, since 2 + 7 + 1 + 61 + 588 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 1404186 + ... + 1406118.

It is an arithmetic number, because the mean of its divisors is an integer number (33262866).

Almost surely, 2^2716158816 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 2716158816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789852704).

2716158816 is an abundant number, since it is smaller than the sum of its proper divisors (6863546592).

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

2716158816 is a wasteful number, since it uses less digits than its factorization.

2716158816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2003 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 2716158816 is about 52116.7805605834. The cubic root of 2716158816 is about 1395.2490001430.

The spelling of 2716158816 in words is "two billion, seven hundred sixteen million, one hundred fifty-eight thousand, eight hundred sixteen".