2501502948864 has 240 divisors, whose sum is σ = 7265594155248. Its totient is φ = 828522971136.

The previous prime is 2501502948731. The next prime is 2501502948887. The reversal of 2501502948864 is 4688492051052.

2501502948864 is a `hidden beast` number, since 2 + 5 + 0 + 150 + 2 + 9 + 488 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2501502948864.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1013984559 + ... + 1013987025.

Almost surely, 2^{2501502948864} is an apocalyptic number.

2501502948864 is a gapful number since it is divisible by the number (24) 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 2501502948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632797077624).

2501502948864 is an abundant number, since it is smaller than the sum of its proper divisors (4764091206384).

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

2501502948864 is a wasteful number, since it uses less digits than its factorization.

2501502948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2501502948864 in words is "two trillion, five hundred one billion, five hundred two million, nine hundred forty-eight thousand, eight hundred sixty-four".