2004334002 has 48 divisors (see below), whose sum is σ = 4745014560. Its totient is φ = 606412800.

The previous prime is 2004334001. The next prime is 2004334009.

2004334002 is nontrivially palindromic in base 10.

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 (2004334001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122802 + ... + 138162.

It is an arithmetic number, because the mean of its divisors is an integer number (98854470).

Almost surely, 2^2004334002 is an apocalyptic number.

2004334002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2004334002 is an abundant number, since it is smaller than the sum of its proper divisors (2740680558).

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

2004334002 is a wasteful number, since it uses less digits than its factorization.

2004334002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16039 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2004334002 is about 44769.7889429915. The cubic root of 2004334002 is about 1260.8304766930.

It can be divided in two parts, 20043 and 34002, that added together give a palindrome (54045).

The spelling of 2004334002 in words is "two billion, four million, three hundred thirty-four thousand, two".