2156336512 has 64 divisors (see below), whose sum is σ = 4728177360. Its totient is φ = 971407360.

The previous prime is 2156336489. The next prime is 2156336513.

2156336512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2156336512² = 9299574305968652288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156336513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152328 + ... + 165880.

Almost surely, 2^2156336512 is an apocalyptic number.

2156336512 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 2156336512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364088680).

2156336512 is an abundant number, since it is smaller than the sum of its proper divisors (2571840848).

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

2156336512 is a wasteful number, since it uses less digits than its factorization.

2156336512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691 (or 13679 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 2156336512 is about 46436.3705730756. The cubic root of 2156336512 is about 1291.9295906829.

The spelling of 2156336512 in words is "two billion, one hundred fifty-six million, three hundred thirty-six thousand, five hundred twelve".