2031114258432 has 960 divisors, whose sum is σ = 7309795933440. Its totient is φ = 549357355008.

The previous prime is 2031114258403. The next prime is 2031114258469. The reversal of 2031114258432 is 2348524111302.

2031114258432 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 1 + 1 + 42 + 584 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3018000048 + ... + 3018000720.

It is an arithmetic number, because the mean of its divisors is an integer number (7614370764).

Almost surely, 2^{2031114258432} 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 2031114258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654897966720).

2031114258432 is an abundant number, since it is smaller than the sum of its proper divisors (5278681675008).

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

2031114258432 is a wasteful number, since it uses less digits than its factorization.

2031114258432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 2031114258432 its reverse (2348524111302), we get a palindrome (4379638369734).

The spelling of 2031114258432 in words is "two trillion, thirty-one billion, one hundred fourteen million, two hundred fifty-eight thousand, four hundred thirty-two".