2004114002 has 32 divisors (see below), whose sum is σ = 3307642560. Its totient is φ = 903165120.

The previous prime is 2004114001. The next prime is 2004114011.

2004114002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2004114001) 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 15 ways as a sum of consecutive naturals, for example, 2332649 + ... + 2333507.

It is an arithmetic number, because the mean of its divisors is an integer number (103363830).

Almost surely, 2^2004114002 is an apocalyptic number.

2004114002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2004114002 is a deficient number, since it is larger than the sum of its proper divisors (1303528558).

2004114002 is a wasteful number, since it uses less digits than its factorization.

2004114002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2004114002 is about 44767.3318615260. The cubic root of 2004114002 is about 1260.7843445191.

It can be divided in two parts, 20041 and 14002, that added together give a palindrome (34043).

The spelling of 2004114002 in words is "two billion, four million, one hundred fourteen thousand, two".