2505778002516 has 96 divisors (see below), whose sum is σ = 6230977392640. Its totient is φ = 781512230016.

The previous prime is 2505778002499. The next prime is 2505778002557. The reversal of 2505778002516 is 6152008775052.

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 31 ways as a sum of consecutive naturals, for example, 8616501 + ... + 8902563.

Almost surely, 2^{2505778002516} 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 2505778002516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115488696320).

2505778002516 is an abundant number, since it is smaller than the sum of its proper divisors (3725199390124).

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

2505778002516 is a wasteful number, since it uses less digits than its factorization.

2505778002516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286565 (or 286563 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 2505778002516 in words is "two trillion, five hundred five billion, seven hundred seventy-eight million, two thousand, five hundred sixteen".