2505971431348 has 192 divisors, whose sum is σ = 5822208000000. Its totient is φ = 915241420800.

The previous prime is 2505971431321. The next prime is 2505971431367. The reversal of 2505971431348 is 8431341795052.

It is a junction number, because it is equal to n+sod(n) for n = 2505971431295 and 2505971431304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80178028 + ... + 80209276.

It is an arithmetic number, because the mean of its divisors is an integer number (30324000000).

Almost surely, 2^{2505971431348} is an apocalyptic number.

2505971431348 is a gapful number since it is divisible by the number (28) 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 2505971431348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911104000000).

2505971431348 is an abundant number, since it is smaller than the sum of its proper divisors (3316236568652).

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

2505971431348 is a wasteful number, since it uses less digits than its factorization.

2505971431348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31566 (or 31564 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 2505971431348 in words is "two trillion, five hundred five billion, nine hundred seventy-one million, four hundred thirty-one thousand, three hundred forty-eight".