2501115452928 has 640 divisors, whose sum is σ = 7746437529600. Its totient is φ = 796111110144.

The previous prime is 2501115452917. The next prime is 2501115452939. The reversal of 2501115452928 is 8292545111052.

2501115452928 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 11 + 545 + 2 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2501115452917) and next prime (2501115452939).

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, 9029297526 + ... + 9029297802.

It is an arithmetic number, because the mean of its divisors is an integer number (12103808640).

Almost surely, 2^{2501115452928} 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 2501115452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873218764800).

2501115452928 is an abundant number, since it is smaller than the sum of its proper divisors (5245322076672).

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

2501115452928 is a wasteful number, since it uses less digits than its factorization.

2501115452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 2501115452928 in words is "two trillion, five hundred one billion, one hundred fifteen million, four hundred fifty-two thousand, nine hundred twenty-eight".