2004600 has 96 divisors (see below), whose sum is σ = 6718320. Its totient is φ = 491520.

The previous prime is 2004593. The next prime is 2004601. The reversal of 2004600 is 64002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004601) 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, 7672 + ... + 7928.

2^2004600 is an apocalyptic number.

2004600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359160).

2004600 is an abundant number, since it is smaller than the sum of its proper divisors (4713720).

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

2004600 is a wasteful number, since it uses less digits than its factorization.

2004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2004600 is about 1415.8389738950. The cubic root of 2004600 is about 126.0886249758.

Adding to 2004600 its reverse (64002), we get a palindrome (2068602).

The spelling of 2004600 in words is "two million, four thousand, six hundred".