2132712000 has 336 divisors, whose sum is σ = 8035747200. Its totient is φ = 538444800.

The previous prime is 2132711983. The next prime is 2132712031. The reversal of 2132712000 is 2172312.

2132712000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1367221 + ... + 1368779.

Almost surely, 2^2132712000 is an apocalyptic number.

2132712000 is a gapful number since it is divisible by the number (20) 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 2132712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017873600).

2132712000 is an abundant number, since it is smaller than the sum of its proper divisors (5903035200).

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

2132712000 is a wasteful number, since it uses less digits than its factorization.

2132712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2132712000 is about 46181.2949147163. The cubic root of 2132712000 is about 1287.1941901020.

Adding to 2132712000 its reverse (2172312), we get a palindrome (2134884312).

The spelling of 2132712000 in words is "two billion, one hundred thirty-two million, seven hundred twelve thousand".