2431532545104 has 320 divisors, whose sum is σ = 7018501898240. Its totient is φ = 720749352960.

The previous prime is 2431532545031. The next prime is 2431532545133. The reversal of 2431532545104 is 4015452351342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381892929 + ... + 381899295.

It is an arithmetic number, because the mean of its divisors is an integer number (21932818432).

Almost surely, 2^{2431532545104} is an apocalyptic number.

2431532545104 is a gapful number since it is divisible by the number (24) 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 2431532545104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509250949120).

2431532545104 is an abundant number, since it is smaller than the sum of its proper divisors (4586969353136).

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

2431532545104 is a wasteful number, since it uses less digits than its factorization.

2431532545104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 2431532545104 its reverse (4015452351342), we get a palindrome (6446984896446).

The spelling of 2431532545104 in words is "two trillion, four hundred thirty-one billion, five hundred thirty-two million, five hundred forty-five thousand, one hundred four".