2004442440 has 768 divisors, whose sum is σ = 8558645760. Its totient is φ = 364953600.

The previous prime is 2004442439. The next prime is 2004442499. The reversal of 2004442440 is 442444002.

It is a Cunningham number, because it is equal to 44771²-1.

It is a super-3 number, since 3×2004442440³ (a number of 29 digits) contains 333 as substring.

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 2004442440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48888820 + ... + 48888860.

It is an arithmetic number, because the mean of its divisors is an integer number (11144070).

Almost surely, 2^2004442440 is an apocalyptic number.

2004442440 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 2004442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279322880).

2004442440 is an abundant number, since it is smaller than the sum of its proper divisors (6554203320).

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

2004442440 is a wasteful number, since it uses less digits than its factorization.

2004442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2004442440 is about 44770.9999888321. Note that the first 4 decimals coincide. The cubic root of 2004442440 is about 1260.8532139995.

Adding to 2004442440 its reverse (442444002), we get a palindrome (2446886442).

It can be divided in two parts, 2004 and 442440, that added together give a palindrome (444444).

The spelling of 2004442440 in words is "two billion, four million, four hundred forty-two thousand, four hundred forty".