2002230322002 has 12 divisors (see below), whose sum is σ = 4338165697710. Its totient is φ = 667410107328.

The previous prime is 2002230321983. The next prime is 2002230322069.

2002230322002 is a `hidden beast` number, since 200 + 2 + 230 + 32 + 200 + 2 = 666.

2002230322002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1843514933121 + 158715388881 = 1357761^2 + 398391^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111235017889 = 2002230322002 / (2 + 0 + 0 + 2 + 2 + 3 + 0 + 3 + 2 + 2 + 0 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 55617508927 + ... + 55617508962.

Almost surely, 2^{2002230322002} is an apocalyptic number.

2002230322002 is an abundant number, since it is smaller than the sum of its proper divisors (2335935375708).

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

2002230322002 is a wasteful number, since it uses less digits than its factorization.

2002230322002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111235017897 (or 111235017894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 2002230 and 322002, that added together give a palindrome (2324232).

The spelling of 2002230322002 in words is "two trillion, two billion, two hundred thirty million, three hundred twenty-two thousand, two".