2430112320400 has 120 divisors (see below), whose sum is σ = 5869604410560. Its totient is φ = 966851934720.

The previous prime is 2430112320359. The next prime is 2430112320409. The reversal of 2430112320400 is 40232110342.

It is not an unprimeable number, because it can be changed into a prime (2430112320409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69309274 + ... + 69344326.

It is an arithmetic number, because the mean of its divisors is an integer number (48913370088).

Almost surely, 2^{2430112320400} is an apocalyptic number.

2430112320400 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 2430112320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934802205280).

2430112320400 is an abundant number, since it is smaller than the sum of its proper divisors (3439492090160).

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

2430112320400 is a wasteful number, since it uses less digits than its factorization.

2430112320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35993 (or 35982 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2430112320400 its reverse (40232110342), we get a palindrome (2470344430742).

The spelling of 2430112320400 in words is "two trillion, four hundred thirty billion, one hundred twelve million, three hundred twenty thousand, four hundred".