2002002002 has 64 divisors (see below), whose sum is σ = 4072336128. Its totient is φ = 712800000.

The previous prime is 2002002001. The next prime is 2002002007.

2002002002 is nontrivially palindromic in base 10.

2002002002 is a modest number, since divided by 2002002 gives 2 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2002002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197252 + ... + 207152.

It is an arithmetic number, because the mean of its divisors is an integer number (63630252).

Almost surely, 2^2002002002 is an apocalyptic number.

2002002002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002002002 is an abundant number, since it is smaller than the sum of its proper divisors (2070334126).

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

2002002002 is a wasteful number, since it uses less digits than its factorization.

2002002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035.

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2002002002 is about 44743.7370142459. The cubic root of 2002002002 is about 1260.3413037782.

It can be divided in two parts, 200200 and 2002, that multiplied together give a square (400800400 = 20020²).

The spelling of 2002002002 in words is "two billion, two million, two thousand, two", and thus it is an eban number.