2008558002 has 64 divisors (see below), whose sum is σ = 4451521536. Its totient is φ = 599098560.

The previous prime is 2008557977. The next prime is 2008558037.

2008558002 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 2042803 + ... + 2043785.

It is an arithmetic number, because the mean of its divisors is an integer number (69555024).

Almost surely, 2^2008558002 is an apocalyptic number.

2008558002 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 2008558002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225760768).

2008558002 is an abundant number, since it is smaller than the sum of its proper divisors (2442963534).

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

2008558002 is a wasteful number, since it uses less digits than its factorization.

2008558002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455.

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2008558002 is about 44816.9387843480. The cubic root of 2008558002 is about 1261.7155605634.

It can be divided in two parts, 20085 and 58002, that added together give a palindrome (78087).

The spelling of 2008558002 in words is "two billion, eight million, five hundred fifty-eight thousand, two".