2133936000 has 768 divisors, whose sum is σ = 9184406400. Its totient is φ = 464486400.

The previous prime is 2133935941. The next prime is 2133936019. The reversal of 2133936000 is 6393312.

2133936000 is a `hidden beast` number, since 21 + 3 + 39 + 3 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29231964 + ... + 29232036.

Almost surely, 2^2133936000 is an apocalyptic number.

2133936000 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 2133936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592203200).

2133936000 is an abundant number, since it is smaller than the sum of its proper divisors (7050470400).

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

2133936000 is a wasteful number, since it uses less digits than its factorization.

2133936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 2133936000 is about 46194.5451325154. The cubic root of 2133936000 is about 1287.4403906169.

The spelling of 2133936000 in words is "two billion, one hundred thirty-three million, nine hundred thirty-six thousand".