2132064000 has 432 divisors, whose sum is σ = 8381659104. Its totient is φ = 516096000.

The previous prime is 2132063981. The next prime is 2132064013. The reversal of 2132064000 is 4602312.

It is a happy number.

2132064000 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 640 + 0 + 0 = 666.

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

It is a congruent number.

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, 3167664 + ... + 3168336.

Almost surely, 2^2132064000 is an apocalyptic number.

2132064000 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 2132064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190829552).

2132064000 is an abundant number, since it is smaller than the sum of its proper divisors (6249595104).

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

2132064000 is a wasteful number, since it uses less digits than its factorization.

2132064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132064000 is about 46174.2785541908. The cubic root of 2132064000 is about 1287.0638105154.

Adding to 2132064000 its reverse (4602312), we get a palindrome (2136666312).

The spelling of 2132064000 in words is "two billion, one hundred thirty-two million, sixty-four thousand".