2430531012400 has 60 divisors (see below), whose sum is σ = 5858007131752. Its totient is φ = 969106245120.

The previous prime is 2430531012391. The next prime is 2430531012401. The reversal of 2430531012400 is 42101350342.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2430531012401) 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 11 ways as a sum of consecutive naturals, for example, 9581394 + ... + 9831793.

Almost surely, 2^{2430531012400} is an apocalyptic number.

2430531012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430531012400 is an abundant number, since it is smaller than the sum of its proper divisors (3427476119352).

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

2430531012400 is a wasteful number, since it uses less digits than its factorization.

2430531012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413518 (or 19413507 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2430531012400 its reverse (42101350342), we get a palindrome (2472632362742).

The spelling of 2430531012400 in words is "two trillion, four hundred thirty billion, five hundred thirty-one million, twelve thousand, four hundred".