2004576 has 96 divisors (see below), whose sum is σ = 6370560. Its totient is φ = 539136.

The previous prime is 2004571. The next prime is 2004577. The reversal of 2004576 is 6754002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

2004576 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12690 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (66360).

2^2004576 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 2004576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185280).

2004576 is an abundant number, since it is smaller than the sum of its proper divisors (4365984).

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

2004576 is a wasteful number, since it uses less digits than its factorization.

2004576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2004576 is about 1415.8304983295. The cubic root of 2004576 is about 126.0881217766.

Adding to 2004576 its reverse (6754002), we get a palindrome (8758578).

The spelling of 2004576 in words is "two million, four thousand, five hundred seventy-six".