2328883200 has 702 divisors, whose sum is σ = 10061365704. Its totient is φ = 504299520.

The previous prime is 2328883199. The next prime is 2328883243. The reversal of 2328883200 is 23888232.

2328883200 is a `hidden beast` number, since 2 + 328 + 8 + 8 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 122572791 + ... + 122572809.

Almost surely, 2^2328883200 is an apocalyptic number.

2328883200 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 2328883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030682852).

2328883200 is an abundant number, since it is smaller than the sum of its proper divisors (7732482504).

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

2328883200 is a wasteful number, since it uses less digits than its factorization.

2328883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2328883200 is about 48258.5039138181. The cubic root of 2328883200 is about 1325.5086595749.

The spelling of 2328883200 in words is "two billion, three hundred twenty-eight million, eight hundred eighty-three thousand, two hundred".