2501904525792 has 192 divisors, whose sum is σ = 7901971822080. Its totient is φ = 677102616576.

The previous prime is 2501904525787. The next prime is 2501904525821. The reversal of 2501904525792 is 2975254091052.

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, 119715088 + ... + 119735984.

It is an arithmetic number, because the mean of its divisors is an integer number (41156103240).

Almost surely, 2^{2501904525792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501904525792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950985911040).

2501904525792 is an abundant number, since it is smaller than the sum of its proper divisors (5400067296288).

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

2501904525792 is a wasteful number, since it uses less digits than its factorization.

2501904525792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30313 (or 30305 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 2501904525792 in words is "two trillion, five hundred one billion, nine hundred four million, five hundred twenty-five thousand, seven hundred ninety-two".