2004120 has 96 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 504576.

The previous prime is 2004109. The next prime is 2004131. The reversal of 2004120 is 214002.

2004120 = T₂₄₅ + T₂₄₆ + ... + T₂₉₈.

It is an interprime number because it is at equal distance from previous prime (2004109) and next prime (2004131).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6694 + ... + 6986.

2^2004120 is an apocalyptic number.

2004120 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 2004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2004120 is an abundant number, since it is smaller than the sum of its proper divisors (4875480).

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

2004120 is a wasteful number, since it uses less digits than its factorization.

2004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2004120 is about 1415.6694529444. The cubic root of 2004120 is about 126.0785602295.

Adding to 2004120 its reverse (214002), we get a palindrome (2218122).

The spelling of 2004120 in words is "two million, four thousand, one hundred twenty".