2328782400 has 840 divisors, whose sum is σ = 10426939776. Its totient is φ = 497664000.

The previous prime is 2328782387. The next prime is 2328782419. The reversal of 2328782400 is 42878232.

It is a tau number, because it is divible by the number of its divisors (840).

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

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 119 ways as a sum of consecutive naturals, for example, 15422325 + ... + 15422475.

Almost surely, 2^2328782400 is an apocalyptic number.

2328782400 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 2328782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213469888).

2328782400 is an abundant number, since it is smaller than the sum of its proper divisors (8098157376).

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

2328782400 is a wasteful number, since it uses less digits than its factorization.

2328782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2328782400 is about 48257.4595269996. The cubic root of 2328782400 is about 1325.4895355014.

The spelling of 2328782400 in words is "two billion, three hundred twenty-eight million, seven hundred eighty-two thousand, four hundred".