2501161579728 has 480 divisors, whose sum is σ = 8669104427520. Its totient is φ = 687930485760.

The previous prime is 2501161579691. The next prime is 2501161579753. The reversal of 2501161579728 is 8279751611052.

2501161579728 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 1 + 61 + 579 + 7 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60668050 + ... + 60709262.

It is an arithmetic number, because the mean of its divisors is an integer number (18060634224).

Almost surely, 2^{2501161579728} is an apocalyptic number.

2501161579728 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 2501161579728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334552213760).

2501161579728 is an abundant number, since it is smaller than the sum of its proper divisors (6167942847792).

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

2501161579728 is a wasteful number, since it uses less digits than its factorization.

2501161579728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41352 (or 41333 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 2501161579728 in words is "two trillion, five hundred one billion, one hundred sixty-one million, five hundred seventy-nine thousand, seven hundred twenty-eight".