2005002 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 613536.

The previous prime is 2005001. The next prime is 2005019.

2005002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2005001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11923 + ... + 12089.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^2005002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

2005002 is an abundant number, since it is smaller than the sum of its proper divisors (2712438).

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

2005002 is a wasteful number, since it uses less digits than its factorization.

2005002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2005002 is about 1415.9809320750. The cubic root of 2005002 is about 126.0970529646.

The spelling of 2005002 in words is "two million, five thousand, two".