2132914896 has 320 divisors, whose sum is σ = 7332864000. Its totient is φ = 580898304.

The previous prime is 2132914871. The next prime is 2132914909. The reversal of 2132914896 is 6984192312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6111330 + ... + 6111678.

It is an arithmetic number, because the mean of its divisors is an integer number (22915200).

Almost surely, 2^2132914896 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 2132914896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666432000).

2132914896 is an abundant number, since it is smaller than the sum of its proper divisors (5199949104).

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

2132914896 is a wasteful number, since it uses less digits than its factorization.

2132914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 451 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2132914896 is about 46183.4915960238. The cubic root of 2132914896 is about 1287.2350079700.

The spelling of 2132914896 in words is "two billion, one hundred thirty-two million, nine hundred fourteen thousand, eight hundred ninety-six".