2004242240 has 224 divisors, whose sum is σ = 6408993024. Its totient is φ = 576552960.

The previous prime is 2004242239. The next prime is 2004242243. The reversal of 2004242240 is 422424002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004242243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317192 + ... + 323448.

It is an arithmetic number, because the mean of its divisors is an integer number (28611576).

Almost surely, 2^2004242240 is an apocalyptic number.

2004242240 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 2004242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204496512).

2004242240 is an abundant number, since it is smaller than the sum of its proper divisors (4404750784).

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

2004242240 is a wasteful number, since it uses less digits than its factorization.

2004242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2004242240 is about 44768.7641107056. The cubic root of 2004242240 is about 1260.8112353736.

Adding to 2004242240 its reverse (422424002), we get a palindrome (2426666242).

The spelling of 2004242240 in words is "two billion, four million, two hundred forty-two thousand, two hundred forty".