2502431917440 has 1024 divisors, whose sum is σ = 10274361753600. Its totient is φ = 503874846720.

The previous prime is 2502431917421. The next prime is 2502431917463. The reversal of 2502431917440 is 447191342052.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2502431917392 and 2502431917401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395388196 + ... + 395394524.

It is an arithmetic number, because the mean of its divisors is an integer number (10033556400).

Almost surely, 2^{2502431917440} is an apocalyptic number.

2502431917440 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 2502431917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137180876800).

2502431917440 is an abundant number, since it is smaller than the sum of its proper divisors (7771929836160).

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

2502431917440 is a wasteful number, since it uses less digits than its factorization.

2502431917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2502431917440 in words is "two trillion, five hundred two billion, four hundred thirty-one million, nine hundred seventeen thousand, four hundred forty".