2431022248512 has 672 divisors, whose sum is σ = 8988999836544. Its totient is φ = 639995904000.

The previous prime is 2431022248511. The next prime is 2431022248517. The reversal of 2431022248512 is 2158422201342.

2431022248512 is a `hidden beast` number, since 2 + 43 + 102 + 22 + 485 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2431022248511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37774762 + ... + 37839062.

It is an arithmetic number, because the mean of its divisors is an integer number (13376487852).

Almost surely, 2^{2431022248512} is an apocalyptic number.

2431022248512 is a gapful number since it is divisible by the number (22) 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 2431022248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494499918272).

2431022248512 is an abundant number, since it is smaller than the sum of its proper divisors (6557977588032).

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

2431022248512 is a wasteful number, since it uses less digits than its factorization.

2431022248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64369 (or 64347 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 2431022248512 its reverse (2158422201342), we get a palindrome (4589444449854).

The spelling of 2431022248512 in words is "two trillion, four hundred thirty-one billion, twenty-two million, two hundred forty-eight thousand, five hundred twelve".