2716456512 has 168 divisors, whose sum is σ = 9121140000. Its totient is φ = 705546240.

The previous prime is 2716456511. The next prime is 2716456529. The reversal of 2716456512 is 2156546172.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2716456512² = 14758271963174412288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2716456511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90364 + ... + 116612.

It is an arithmetic number, because the mean of its divisors is an integer number (54292500).

Almost surely, 2^2716456512 is an apocalyptic number.

2716456512 is a gapful number since it is divisible by the number (22) 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 2716456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560570000).

2716456512 is an abundant number, since it is smaller than the sum of its proper divisors (6404683488).

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

2716456512 is a wasteful number, since it uses less digits than its factorization.

2716456512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26289 (or 26272 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 2716456512 is about 52119.6365298147. The cubic root of 2716456512 is about 1395.2999722328.

The spelling of 2716456512 in words is "two billion, seven hundred sixteen million, four hundred fifty-six thousand, five hundred twelve".