2504105353216 has 112 divisors (see below), whose sum is σ = 5231303175168. Its totient is φ = 1196317900800.

The previous prime is 2504105353177. The next prime is 2504105353237. The reversal of 2504105353216 is 6123535014052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186713551 + ... + 186726961.

It is an arithmetic number, because the mean of its divisors is an integer number (46708064064).

Almost surely, 2^{2504105353216} 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 2504105353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615651587584).

2504105353216 is an abundant number, since it is smaller than the sum of its proper divisors (2727197821952).

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

2504105353216 is an equidigital number, since it uses as much as digits as its factorization.

2504105353216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 2504105353216 in words is "two trillion, five hundred four billion, one hundred five million, three hundred fifty-three thousand, two hundred sixteen".