2002140412002 has 48 divisors (see below), whose sum is σ = 4566504720960. Its totient is φ = 632224465056.

The previous prime is 2002140411989. The next prime is 2002140412091.

2002140412002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 7604203 + ... + 7863089.

It is an arithmetic number, because the mean of its divisors is an integer number (95135515020).

Almost surely, 2^{2002140412002} is an apocalyptic number.

2002140412002 is an abundant number, since it is smaller than the sum of its proper divisors (2564364308958).

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

2002140412002 is a wasteful number, since it uses less digits than its factorization.

2002140412002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281527 (or 281524 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2002140 and 412002, that added together give a palindrome (2414142).

The spelling of 2002140412002 in words is "two trillion, two billion, one hundred forty million, four hundred twelve thousand, two".