2431142200 has 96 divisors (see below), whose sum is σ = 5785344000. Its totient is φ = 949808000.

The previous prime is 2431142173. The next prime is 2431142243. The reversal of 2431142200 is 22411342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2111625 + ... + 2112775.

It is an arithmetic number, because the mean of its divisors is an integer number (60264000).

Almost surely, 2^2431142200 is an apocalyptic number.

2431142200 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 2431142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672000).

2431142200 is an abundant number, since it is smaller than the sum of its proper divisors (3354201800).

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

2431142200 is a wasteful number, since it uses less digits than its factorization.

2431142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2431142200 is about 49306.6141607797. The cubic root of 2431142200 is about 1344.6320354370.

Adding to 2431142200 its reverse (22411342), we get a palindrome (2453553542).

It can be divided in two parts, 2431142 and 200, that added together give a palindrome (2431342).

The spelling of 2431142200 in words is "two billion, four hundred thirty-one million, one hundred forty-two thousand, two hundred".