2156116512 has 96 divisors (see below), whose sum is σ = 6200893440. Its totient is φ = 650558720.

The previous prime is 2156116483. The next prime is 2156116513.

2156116512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2156116512² = 9297676826638092288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2156116512.

It is not an unprimeable number, because it can be changed into a prime (2156116513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248113 + ... + 256655.

It is an arithmetic number, because the mean of its divisors is an integer number (64592640).

Almost surely, 2^2156116512 is an apocalyptic number.

2156116512 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 2156116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100446720).

2156116512 is an abundant number, since it is smaller than the sum of its proper divisors (4044776928).

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

2156116512 is a wasteful number, since it uses less digits than its factorization.

2156116512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8798 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 2156116512 is about 46434.0016798036. The cubic root of 2156116512 is about 1291.8856528629.

The spelling of 2156116512 in words is "two billion, one hundred fifty-six million, one hundred sixteen thousand, five hundred twelve".