2002882002 has 64 divisors (see below), whose sum is σ = 4506192000. Its totient is φ = 588142080.

The previous prime is 2002882001. The next prime is 2002882003.

2002882002 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2002882001) and next prime (2002882003).

It is not an unprimeable number, because it can be changed into a prime (2002882001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655374 + ... + 658422.

It is an arithmetic number, because the mean of its divisors is an integer number (70409250).

Almost surely, 2^2002882002 is an apocalyptic number.

2002882002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002882002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253096000).

2002882002 is an abundant number, since it is smaller than the sum of its proper divisors (2503309998).

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

2002882002 is a wasteful number, since it uses less digits than its factorization.

2002882002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2002882002 is about 44753.5697123704. The cubic root of 2002882002 is about 1260.5259419354.

The spelling of 2002882002 in words is "two billion, two million, eight hundred eighty-two thousand, two".