2330112400 has 120 divisors (see below), whose sum is σ = 6979535424. Its totient is φ = 726259200.

The previous prime is 2330112397. The next prime is 2330112403. The reversal of 2330112400 is 42110332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2330112397) and next prime (2330112403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2330112403) by changing a digit.

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, 7027 + ... + 68626.

Almost surely, 2^2330112400 is an apocalyptic number.

2330112400 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 2330112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489767712).

2330112400 is an abundant number, since it is smaller than the sum of its proper divisors (4649423024).

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

2330112400 is a wasteful number, since it uses less digits than its factorization.

2330112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75689 (or 75678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2330112400 is about 48271.2378130083. The cubic root of 2330112400 is about 1325.7418226455.

Adding to 2330112400 its reverse (42110332), we get a palindrome (2372222732).

The spelling of 2330112400 in words is "two billion, three hundred thirty million, one hundred twelve thousand, four hundred".