2005667666002 has 64 divisors (see below), whose sum is σ = 4044855628800. Its totient is φ = 720342434880.

The previous prime is 2005667665987. The next prime is 2005667666047. The reversal of 2005667666002 is 2006667665002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801649 + ... + 2157307.

It is an arithmetic number, because the mean of its divisors is an integer number (63200869200).

Almost surely, 2^{2005667666002} is an apocalyptic number.

2005667666002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2005667666002 is an abundant number, since it is smaller than the sum of its proper divisors (2039187962798).

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

2005667666002 is a wasteful number, since it uses less digits than its factorization.

2005667666002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356431.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 2005667666002 in words is "two trillion, five billion, six hundred sixty-seven million, six hundred sixty-six thousand, two".