2431242102200 has 96 divisors (see below), whose sum is σ = 5709640512000. Its totient is φ = 962723543040.

The previous prime is 2431242102187. The next prime is 2431242102203. The reversal of 2431242102200 is 22012421342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431242102203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11503076 + ... + 11712524.

It is an arithmetic number, because the mean of its divisors is an integer number (59475422000).

Almost surely, 2^{2431242102200} is an apocalyptic number.

2431242102200 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 2431242102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854820256000).

2431242102200 is an abundant number, since it is smaller than the sum of its proper divisors (3278398409800).

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

2431242102200 is a wasteful number, since it uses less digits than its factorization.

2431242102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210049 (or 210040 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2431242102200 its reverse (22012421342), we get a palindrome (2453254523542).

The spelling of 2431242102200 in words is "two trillion, four hundred thirty-one billion, two hundred forty-two million, one hundred two thousand, two hundred".