2133332000 has 96 divisors (see below), whose sum is σ = 5265724464. Its totient is φ = 849408000.

The previous prime is 2133331997. The next prime is 2133332009. The reversal of 2133332000 is 2333312.

It can be written as a sum of positive squares in 8 ways, for example, as 806332816 + 1326999184 = 28396^2 + 36428^2 .

It is a super-2 number, since 2×2133332000² = 9102210844448000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2133332000.

It is not an unprimeable number, because it can be changed into a prime (2133332009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962894 + ... + 965106.

Almost surely, 2^2133332000 is an apocalyptic number.

2133332000 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 2133332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632862232).

2133332000 is an abundant number, since it is smaller than the sum of its proper divisors (3132392464).

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

2133332000 is a wasteful number, since it uses less digits than its factorization.

2133332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2133332000 is about 46188.0071014111. The cubic root of 2133332000 is about 1287.3189112826.

Adding to 2133332000 its reverse (2333312), we get a palindrome (2135665312).

The spelling of 2133332000 in words is "two billion, one hundred thirty-three million, three hundred thirty-two thousand".