2431474864128 has 624 divisors, whose sum is σ = 7735240309680. Its totient is φ = 732476473344.

The previous prime is 2431474863989. The next prime is 2431474864129. The reversal of 2431474864128 is 8214684741342.

2431474864128 is a `hidden beast` number, since 2 + 4 + 3 + 147 + 4 + 86 + 412 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39033114624 + 2392441749504 = 197568^2 + 1546752^2 .

It is a super-2 number, since 2×2431474864128² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2431474864129) 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, 6124621626 + ... + 6124622022.

It is an arithmetic number, because the mean of its divisors is an integer number (12396218445).

Almost surely, 2^{2431474864128} 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 2431474864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867620154840).

2431474864128 is an abundant number, since it is smaller than the sum of its proper divisors (5303765445552).

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

2431474864128 is a wasteful number, since it uses less digits than its factorization.

2431474864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 785 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 2431474864128 in words is "two trillion, four hundred thirty-one billion, four hundred seventy-four million, eight hundred sixty-four thousand, one hundred twenty-eight".