2006006002 has 128 divisors (see below), whose sum is σ = 4181184000. Its totient is φ = 721440720.

The previous prime is 2006005993. The next prime is 2006006033.

2006006002 is nontrivially palindromic in base 10.

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 63 ways as a sum of consecutive naturals, for example, 154308148 + ... + 154308160.

It is an arithmetic number, because the mean of its divisors is an integer number (32665500).

Almost surely, 2^2006006002 is an apocalyptic number.

2006006002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2006006002 is an abundant number, since it is smaller than the sum of its proper divisors (2175177998).

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

2006006002 is an frugal number, since it uses more digits than its factorization.

2006006002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2006006002 is about 44788.4583570366. The cubic root of 2006006002 is about 1261.1809709448.

It can be divided in two parts, 200600 and 6002, that added together give a palindrome (206602).

The spelling of 2006006002 in words is "two billion, six million, six thousand, two", and thus it is an eban number.