2002334332002 has 32 divisors (see below), whose sum is σ = 4025858264064. Its totient is φ = 663913564800.

The previous prime is 2002334331997. The next prime is 2002334332013.

It is a happy number.

2002334332002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2002334332002² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27537598 + ... + 27610214.

It is an arithmetic number, because the mean of its divisors is an integer number (125808070752).

Almost surely, 2^{2002334332002} is an apocalyptic number.

2002334332002 is an abundant number, since it is smaller than the sum of its proper divisors (2023523932062).

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

2002334332002 is a wasteful number, since it uses less digits than its factorization.

2002334332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96874.

The product of its (nonzero) digits is 5184, while the sum is 24.

The spelling of 2002334332002 in words is "two trillion, two billion, three hundred thirty-four million, three hundred thirty-two thousand, two".