2004340 has 36 divisors (see below), whose sum is σ = 4565484. Its totient is φ = 738816.

The previous prime is 2004313. The next prime is 2004341. The reversal of 2004340 is 434002.

It can be written as a sum of positive squares in 6 ways, for example, as 309136 + 1695204 = 556^2 + 1302^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2004340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3084 + ... + 3676.

It is an arithmetic number, because the mean of its divisors is an integer number (126819).

2^2004340 is an apocalyptic number.

2004340 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 2004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282742).

2004340 is an abundant number, since it is smaller than the sum of its proper divisors (2561144).

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

2004340 is a wasteful number, since it uses less digits than its factorization.

2004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2004340 is about 1415.7471525664. The cubic root of 2004340 is about 126.0831734376.

Adding to 2004340 its reverse (434002), we get a palindrome (2438342).

The spelling of 2004340 in words is "two million, four thousand, three hundred forty".