2005335002 has 32 divisors (see below), whose sum is σ = 3320927424. Its totient is φ = 900592000.

The previous prime is 2005335001. The next prime is 2005335049.

2005335002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2005335001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103758 + ... + 2104710.

It is an arithmetic number, because the mean of its divisors is an integer number (103778982).

Almost surely, 2^2005335002 is an apocalyptic number.

2005335002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2005335002 is a deficient number, since it is larger than the sum of its proper divisors (1315592422).

2005335002 is a wasteful number, since it uses less digits than its factorization.

2005335002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014.

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2005335002 is about 44780.9669614223. The cubic root of 2005335002 is about 1261.0403354724.

It can be divided in two parts, 20053 and 35002, that added together give a palindrome (55055).

The spelling of 2005335002 in words is "two billion, five million, three hundred thirty-five thousand, two".