2501782082496 has 448 divisors, whose sum is σ = 7950159360000. Its totient is φ = 769044409344.

The previous prime is 2501782082479. The next prime is 2501782082497. The reversal of 2501782082496 is 6942802871052.

2501782082496 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 78 + 2 + 0 + 82 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501782082497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199513795 + ... + 199526333.

Almost surely, 2^{2501782082496} 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 2501782082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975079680000).

2501782082496 is an abundant number, since it is smaller than the sum of its proper divisors (5448377277504).

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

2501782082496 is a wasteful number, since it uses less digits than its factorization.

2501782082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2501782082496 in words is "two trillion, five hundred one billion, seven hundred eighty-two million, eighty-two thousand, four hundred ninety-six".