2500005984048 has 200 divisors, whose sum is σ = 7340637981600. Its totient is φ = 821264209920.

The previous prime is 2500005984041. The next prime is 2500005984083. The reversal of 2500005984048 is 8404895000052.

2500005984048 is a `hidden beast` number, since 2 + 50 + 0 + 0 + 0 + 598 + 4 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2500005983994 and 2500005984012.

It is not an unprimeable number, because it can be changed into a prime (2500005984041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 340179478 + ... + 340186826.

It is an arithmetic number, because the mean of its divisors is an integer number (36703189908).

Almost surely, 2^{2500005984048} 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 2500005984048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670318990800).

2500005984048 is an abundant number, since it is smaller than the sum of its proper divisors (4840631997552).

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

2500005984048 is a wasteful number, since it uses less digits than its factorization.

2500005984048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2500005984048 in words is "two trillion, five hundred billion, five million, nine hundred eighty-four thousand, forty-eight".