2005335168 has 64 divisors (see below), whose sum is σ = 5335636320. Its totient is φ = 667320320.

The previous prime is 2005335151. The next prime is 2005335173. The reversal of 2005335168 is 8615335002.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242071 + ... + 250217.

Almost surely, 2^2005335168 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 2005335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667818160).

2005335168 is an abundant number, since it is smaller than the sum of its proper divisors (3330301152).

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

2005335168 is an equidigital number, since it uses as much as digits as its factorization.

2005335168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8805 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2005335168 is about 44780.9688148883. The cubic root of 2005335168 is about 1261.0403702684.

The spelling of 2005335168 in words is "two billion, five million, three hundred thirty-five thousand, one hundred sixty-eight".