2004240000440 has 32 divisors (see below), whose sum is σ = 4655009036160. Its totient is φ = 775834838400.

The previous prime is 2004240000407. The next prime is 2004240000481. The reversal of 2004240000440 is 440000424002.

It is a super-4 number, since 4×2004240000440⁴ (a number of 50 digits) contains 4444 as substring.

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

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, 808160051 + ... + 808162530.

It is an arithmetic number, because the mean of its divisors is an integer number (145469032380).

Almost surely, 2^{2004240000440} is an apocalyptic number.

2004240000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004240000440 is an abundant number, since it is smaller than the sum of its proper divisors (2650769035720).

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

2004240000440 is a wasteful number, since it uses less digits than its factorization.

2004240000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616322623 (or 1616322619 counting only the distinct ones).

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

Adding to 2004240000440 its reverse (440000424002), we get a palindrome (2444240424442).

The spelling of 2004240000440 in words is "two trillion, four billion, two hundred forty million, four hundred forty", and thus it is an aban number.