2304140112400 has 540 divisors, whose sum is σ = 6706726071300. Its totient is φ = 758451456000.

The previous prime is 2304140112371. The next prime is 2304140112403. The reversal of 2304140112400 is 42110414032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 487025328384 + 1817114784016 = 697872^2 + 1348004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304140112403) 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 107 ways as a sum of consecutive naturals, for example, 2806503990 + ... + 2806504810.

It is an arithmetic number, because the mean of its divisors is an integer number (12419863095).

Almost surely, 2^{2304140112400} is an apocalyptic number.

2304140112400 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 2304140112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353363035650).

2304140112400 is an abundant number, since it is smaller than the sum of its proper divisors (4402585958900).

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

2304140112400 is a wasteful number, since it uses less digits than its factorization.

2304140112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2304140112400 its reverse (42110414032), we get a palindrome (2346250526432).

The spelling of 2304140112400 in words is "two trillion, three hundred four billion, one hundred forty million, one hundred twelve thousand, four hundred".