2430013120032 has 96 divisors (see below), whose sum is σ = 6535968848640. Its totient is φ = 790095479040.

The previous prime is 2430013120021. The next prime is 2430013120039. The reversal of 2430013120032 is 2300213100342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2430013119990 and 2430013120008.

It is not an unprimeable number, because it can be changed into a prime (2430013120039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2652307 + ... + 3448877.

It is an arithmetic number, because the mean of its divisors is an integer number (68083008840).

Almost surely, 2^{2430013120032} 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 2430013120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267984424320).

2430013120032 is an abundant number, since it is smaller than the sum of its proper divisors (4105955728608).

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

2430013120032 is a wasteful number, since it uses less digits than its factorization.

2430013120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797366 (or 797358 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2430013120032 its reverse (2300213100342), we get a palindrome (4730226220374).

The spelling of 2430013120032 in words is "two trillion, four hundred thirty billion, thirteen million, one hundred twenty thousand, thirty-two".