2004480 has 160 divisors (see below), whose sum is σ = 7365600. Its totient is φ = 516096.

The previous prime is 2004479. The next prime is 2004511. The reversal of 2004480 is 844002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69106 + ... + 69134.

It is an arithmetic number, because the mean of its divisors is an integer number (46035).

2^2004480 is an apocalyptic number.

2004480 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 2004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682800).

2004480 is an abundant number, since it is smaller than the sum of its proper divisors (5361120).

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

2004480 is an equidigital number, since it uses as much as digits as its factorization.

2004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2004480 is about 1415.7965955603. The cubic root of 2004480 is about 126.0861089398.

Adding to 2004480 its reverse (844002), we get a palindrome (2848482).

The spelling of 2004480 in words is "two million, four thousand, four hundred eighty".