2004805440 has 336 divisors, whose sum is σ = 7599249216. Its totient is φ = 485084160.

The previous prime is 2004805417. The next prime is 2004805471. The reversal of 2004805440 is 445084002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833019 + ... + 3833541.

Almost surely, 2^2004805440 is an apocalyptic number.

2004805440 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 2004805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799624608).

2004805440 is an abundant number, since it is smaller than the sum of its proper divisors (5594443776).

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

2004805440 is a wasteful number, since it uses less digits than its factorization.

2004805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2004805440 is about 44775.0537688119. The cubic root of 2004805440 is about 1260.9293219620.

Adding to 2004805440 its reverse (445084002), we get a palindrome (2449889442).

The spelling of 2004805440 in words is "two billion, four million, eight hundred five thousand, four hundred forty".