2431215510240 has 192 divisors, whose sum is σ = 8435654502912. Its totient is φ = 583663257600.

The previous prime is 2431215510181. The next prime is 2431215510257. The reversal of 2431215510240 is 420155121342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2431215510198 and 2431215510207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1691391 + ... + 2779070.

It is an arithmetic number, because the mean of its divisors is an integer number (43935700536).

Almost surely, 2^{2431215510240} is an apocalyptic number.

2431215510240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431215510240 is an abundant number, since it is smaller than the sum of its proper divisors (6004438992672).

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

2431215510240 is a wasteful number, since it uses less digits than its factorization.

2431215510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470593 (or 4470585 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2431215510240 in words is "two trillion, four hundred thirty-one billion, two hundred fifteen million, five hundred ten thousand, two hundred forty".