2004000440 has 32 divisors (see below), whose sum is σ = 4855848480. Its totient is φ = 739938432.

The previous prime is 2004000379. The next prime is 2004000461. The reversal of 2004000440 is 440004002.

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 7 ways as a sum of consecutive naturals, for example, 1926404 + ... + 1927443.

It is an arithmetic number, because the mean of its divisors is an integer number (151745265).

Almost surely, 2^2004000440 is an apocalyptic number.

2004000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004000440 is an abundant number, since it is smaller than the sum of its proper divisors (2851848040).

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

2004000440 is a wasteful number, since it uses less digits than its factorization.

2004000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853871 (or 3853867 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2004000440 is about 44766.0634856361. The cubic root of 2004000440 is about 1260.7605301891.

Adding to 2004000440 its reverse (440004002), we get a palindrome (2444004442).

The spelling of 2004000440 in words is "two billion, four million, four hundred forty", and thus it is an aban number.