2004016 has 40 divisors (see below), whose sum is σ = 4597920. Its totient is φ = 827904.

The previous prime is 2004007. The next prime is 2004017. The reversal of 2004016 is 6104002.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2003987 and 2004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940 + ... + 3556.

It is an arithmetic number, because the mean of its divisors is an integer number (114948).

2^2004016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298960).

2004016 is an abundant number, since it is smaller than the sum of its proper divisors (2593904).

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

2004016 is a wasteful number, since it uses less digits than its factorization.

2004016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2004016 is about 1415.6327207295. The cubic root of 2004016 is about 126.0763793226.

Adding to 2004016 its reverse (6104002), we get a palindrome (8108018).

The spelling of 2004016 in words is "two million, four thousand, sixteen".