2431012013430 has 576 divisors, whose sum is σ = 8234362914048. Its totient is φ = 453666769920.

The previous prime is 2431012013411. The next prime is 2431012013453. The reversal of 2431012013430 is 343102101342.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2431012013430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101098989 + ... + 101123031.

It is an arithmetic number, because the mean of its divisors is an integer number (14295768948).

Almost surely, 2^{2431012013430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431012013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117181457024).

2431012013430 is an abundant number, since it is smaller than the sum of its proper divisors (5803350900618).

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

2431012013430 is a wasteful number, since it uses less digits than its factorization.

2431012013430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24141 (or 24121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2431012013430 its reverse (343102101342), we get a palindrome (2774114114772).

The spelling of 2431012013430 in words is "two trillion, four hundred thirty-one billion, twelve million, thirteen thousand, four hundred thirty".