2133303200 has 108 divisors (see below), whose sum is σ = 6058311462. Its totient is φ = 731404800.

The previous prime is 2133303187. The next prime is 2133303203. The reversal of 2133303200 is 23033312.

It can be written as a sum of positive squares in 3 ways, for example, as 1934944144 + 198359056 = 43988^2 + 14084^2 .

It is not an unprimeable number, because it can be changed into a prime (2133303203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11990 + ... + 66410.

Almost surely, 2^2133303200 is an apocalyptic number.

2133303200 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 2133303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029155731).

2133303200 is an abundant number, since it is smaller than the sum of its proper divisors (3925008262).

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

2133303200 is a wasteful number, since it uses less digits than its factorization.

2133303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54455 (or 54435 counting only the distinct ones).

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

The square root of 2133303200 is about 46187.6953311161. The cubic root of 2133303200 is about 1287.3131183178.

Adding to 2133303200 its reverse (23033312), we get a palindrome (2156336512).

The spelling of 2133303200 in words is "two billion, one hundred thirty-three million, three hundred three thousand, two hundred".