2002132312002 has 24 divisors (see below), whose sum is σ = 4338496373484. Its totient is φ = 667293894144.

The previous prime is 2002132311983. The next prime is 2002132312009.

2002132312002 is a `hidden beast` number, since 20 + 0 + 213 + 231 + 200 + 2 = 666.

2002132312002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1844786016441 + 157346295561 = 1358229^2 + 396669^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2002132312009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6814063 + ... + 7101810.

Almost surely, 2^{2002132312002} is an apocalyptic number.

2002132312002 is an abundant number, since it is smaller than the sum of its proper divisors (2336364061482).

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

2002132312002 is a wasteful number, since it uses less digits than its factorization.

2002132312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923874 (or 13923871 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 2002132312002 in words is "two trillion, two billion, one hundred thirty-two million, three hundred twelve thousand, two".