6002002006 has 128 divisors (see below), whose sum is σ = 12498748416. Its totient is φ = 2086318080.

The previous prime is 6002002003. The next prime is 6002002033.

6002002006 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002002003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9727410 + ... + 9728026.

It is an arithmetic number, because the mean of its divisors is an integer number (97646472).

Almost surely, 2^6002002006 is an apocalyptic number.

6002002006 is an abundant number, since it is smaller than the sum of its proper divisors (6496746410).

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

6002002006 is a wasteful number, since it uses less digits than its factorization.

6002002006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806.

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

The square root of 6002002006 is about 77472.5887395019. The cubic root of 6002002006 is about 1817.3226751538.

It can be divided in two parts, 600200 and 2006, that added together give a palindrome (602206).

The spelling of 6002002006 in words is "six billion, two million, two thousand, six", and thus it is an eban number.