2005005002 has 32 divisors (see below), whose sum is σ = 4038056064. Its totient is φ = 721080000.

The previous prime is 2005004993. The next prime is 2005005047.

2005005002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498749 + ... + 502752.

It is an arithmetic number, because the mean of its divisors is an integer number (126189252).

Almost surely, 2^2005005002 is an apocalyptic number.

2005005002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2005005002 is an abundant number, since it is smaller than the sum of its proper divisors (2033051062).

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

2005005002 is a wasteful number, since it uses less digits than its factorization.

2005005002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001534.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2005005002 is about 44777.2822087272. The cubic root of 2005005002 is about 1260.9711589775.

It can be divided in two parts, 200500 and 5002, that added together give a palindrome (205502).

The spelling of 2005005002 in words is "two billion, five million, five thousand, two".