2430120204232 has 96 divisors (see below), whose sum is σ = 5444861889600. Its totient is φ = 995977141632.

The previous prime is 2430120204143. The next prime is 2430120204233. The reversal of 2430120204232 is 2324020210342.

It is a junction number, because it is equal to n+sod(n) for n = 2430120204197 and 2430120204206.

It is not an unprimeable number, because it can be changed into a prime (2430120204233) 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, 241341694 + ... + 241351762.

It is an arithmetic number, because the mean of its divisors is an integer number (56717311350).

Almost surely, 2^{2430120204232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430120204232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722430944800).

2430120204232 is an abundant number, since it is smaller than the sum of its proper divisors (3014741685368).

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

2430120204232 is a wasteful number, since it uses less digits than its factorization.

2430120204232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18275 (or 18248 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2430120204232 its reverse (2324020210342), we get a palindrome (4754140414574).

The spelling of 2430120204232 in words is "two trillion, four hundred thirty billion, one hundred twenty million, two hundred four thousand, two hundred thirty-two".