2383133200 has 120 divisors (see below), whose sum is σ = 6703320960. Its totient is φ = 797107200.

The previous prime is 2383133191. The next prime is 2383133239. The reversal of 2383133200 is 23313832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104421 + ... + 125179.

It is an arithmetic number, because the mean of its divisors is an integer number (55861008).

Almost surely, 2^2383133200 is an apocalyptic number.

2383133200 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 2383133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351660480).

2383133200 is an abundant number, since it is smaller than the sum of its proper divisors (4320187760).

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

2383133200 is a wasteful number, since it uses less digits than its factorization.

2383133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20825 (or 20814 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 2383133200 is about 48817.3452780874. The cubic root of 2383133200 is about 1335.7220817439.

The spelling of 2383133200 in words is "two billion, three hundred eighty-three million, one hundred thirty-three thousand, two hundred".