2002552002 has 96 divisors (see below), whose sum is σ = 4825626624. Its totient is φ = 595123200.

The previous prime is 2002551997. The next prime is 2002552007.

2002552002 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2002551997) and next prime (2002552007).

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 (2002552007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2438752 + ... + 2439572.

It is an arithmetic number, because the mean of its divisors is an integer number (50266944).

Almost surely, 2^2002552002 is an apocalyptic number.

2002552002 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 2002552002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412813312).

2002552002 is an abundant number, since it is smaller than the sum of its proper divisors (2823074622).

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

2002552002 is a wasteful number, since it uses less digits than its factorization.

2002552002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2002552002 is about 44749.8827037569. The cubic root of 2002552002 is about 1260.4567089655.

It can be divided in two parts, 20025 and 52002, that added together give a palindrome (72027).

The spelling of 2002552002 in words is "two billion, two million, five hundred fifty-two thousand, two".