2004613266816 has 192 divisors, whose sum is σ = 5984149953600. Its totient is φ = 667978928640.

The previous prime is 2004613266791. The next prime is 2004613266907. The reversal of 2004613266816 is 6186623164002.

2004613266816 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 613 + 26 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110067951 + ... + 110086161.

It is an arithmetic number, because the mean of its divisors is an integer number (31167447675).

Almost surely, 2^{2004613266816} 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 2004613266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992074976800).

2004613266816 is an abundant number, since it is smaller than the sum of its proper divisors (3979536686784).

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

2004613266816 is an equidigital number, since it uses as much as digits as its factorization.

2004613266816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21779 (or 21755 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2004613266816 in words is "two trillion, four billion, six hundred thirteen million, two hundred sixty-six thousand, eight hundred sixteen".