2133333200 has 120 divisors (see below), whose sum is σ = 5415058176. Its totient is φ = 806400000.

The previous prime is 2133333187. The next prime is 2133333203. The reversal of 2133333200 is 23333312.

It is a super-2 number, since 2×2133333200² = 9102221084444480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133333203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531200 + ... + 535200.

Almost surely, 2^2133333200 is an apocalyptic number.

2133333200 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 2133333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707529088).

2133333200 is an abundant number, since it is smaller than the sum of its proper divisors (3281724976).

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

2133333200 is a wasteful number, since it uses less digits than its factorization.

2133333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 2133333200 is about 46188.0200917944. The cubic root of 2133333200 is about 1287.3191526550.

Adding to 2133333200 its reverse (23333312), we get a palindrome (2156666512).

The spelling of 2133333200 in words is "two billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred".