2631231514560 has 448 divisors, whose sum is σ = 9269874109440. Its totient is φ = 627022725120.

The previous prime is 2631231514537. The next prime is 2631231514573. The reversal of 2631231514560 is 654151321362.

It is a happy number.

It is a super-2 number, since 2×2631231514560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162584229 + ... + 162600411.

It is an arithmetic number, because the mean of its divisors is an integer number (20691683280).

Almost surely, 2^{2631231514560} is an apocalyptic number.

2631231514560 is a gapful number since it is divisible by the number (20) 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 2631231514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634937054720).

2631231514560 is an abundant number, since it is smaller than the sum of its proper divisors (6638642594880).

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

2631231514560 is a wasteful number, since it uses less digits than its factorization.

2631231514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 2631231514560 in words is "two trillion, six hundred thirty-one billion, two hundred thirty-one million, five hundred fourteen thousand, five hundred sixty".