2431200031000 has 96 divisors (see below), whose sum is σ = 6160287276000. Its totient is φ = 897673795200.

The previous prime is 2431200030977. The next prime is 2431200031021. The reversal of 2431200031000 is 1300021342.

It is a happy number.

It is a super-2 number, since 2×2431200031000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7023900 + ... + 7361899.

It is an arithmetic number, because the mean of its divisors is an integer number (64169659125).

Almost surely, 2^{2431200031000} is an apocalyptic number.

2431200031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431200031000 is an abundant number, since it is smaller than the sum of its proper divisors (3729087245000).

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

2431200031000 is a wasteful number, since it uses less digits than its factorization.

2431200031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14385846 (or 14385819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2431200031000 its reverse (1300021342), we get a palindrome (2432500052342).

The spelling of 2431200031000 in words is "two trillion, four hundred thirty-one billion, two hundred million, thirty-one thousand".