2004440002224 has 80 divisors (see below), whose sum is σ = 5720381253120. Its totient is φ = 599717364480.

The previous prime is 2004440002219. The next prime is 2004440002247. The reversal of 2004440002224 is 4222000444002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2004440002194 and 2004440002203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23985427 + ... + 24068850.

It is an arithmetic number, because the mean of its divisors is an integer number (71504765664).

Almost surely, 2^{2004440002224} is an apocalyptic number.

2004440002224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004440002224 is an abundant number, since it is smaller than the sum of its proper divisors (3715941250896).

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

2004440002224 is a wasteful number, since it uses less digits than its factorization.

2004440002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48054378 (or 48054372 counting only the distinct ones).

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

Adding to 2004440002224 its reverse (4222000444002), we get a palindrome (6226440446226).

The spelling of 2004440002224 in words is "two trillion, four billion, four hundred forty million, two thousand, two hundred twenty-four".