2501732604672 has 720 divisors, whose sum is σ = 9013436284160. Its totient is φ = 676979306496.

The previous prime is 2501732604647. The next prime is 2501732604703. The reversal of 2501732604672 is 2764062371052.

2501732604672 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 7 + 32 + 604 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 670164918 + ... + 670168650.

Almost surely, 2^{2501732604672} 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 2501732604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506718142080).

2501732604672 is an abundant number, since it is smaller than the sum of its proper divisors (6511703679488).

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

2501732604672 is an frugal number, since it uses more digits than its factorization.

2501732604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2501732604672 in words is "two trillion, five hundred one billion, seven hundred thirty-two million, six hundred four thousand, six hundred seventy-two".