2004660240 has 120 divisors (see below), whose sum is σ = 6830854464. Its totient is φ = 485971200.

The previous prime is 2004660233. The next prime is 2004660241. The reversal of 2004660240 is 420664002.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2004660240.

It is not an unprimeable number, because it can be changed into a prime (2004660241) 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, 5476 + ... + 63555.

Almost surely, 2^2004660240 is an apocalyptic number.

2004660240 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 2004660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415427232).

2004660240 is an abundant number, since it is smaller than the sum of its proper divisors (4826194224).

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

2004660240 is a wasteful number, since it uses less digits than its factorization.

2004660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69069 (or 69052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2004660240 is about 44773.4323008634. The cubic root of 2004660240 is about 1260.8988798795.

The spelling of 2004660240 in words is "two billion, four million, six hundred sixty thousand, two hundred forty".