2431304304032 has 288 divisors, whose sum is σ = 5287905504000. Its totient is φ = 1097360732160.

The previous prime is 2431304304031. The next prime is 2431304304043. The reversal of 2431304304032 is 2304034031342.

It is a super-2 number, since 2×2431304304032² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2431304303986 and 2431304304004.

It is not an unprimeable number, because it can be changed into a prime (2431304304031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12217609469 + ... + 12217609667.

It is an arithmetic number, because the mean of its divisors is an integer number (18360783000).

Almost surely, 2^{2431304304032} 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 2431304304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643952752000).

2431304304032 is an abundant number, since it is smaller than the sum of its proper divisors (2856601199968).

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

2431304304032 is a wasteful number, since it uses less digits than its factorization.

2431304304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 2431304304032 its reverse (2304034031342), we get a palindrome (4735338335374).

The spelling of 2431304304032 in words is "two trillion, four hundred thirty-one billion, three hundred four million, three hundred four thousand, thirty-two".