2004220400224 has 24 divisors (see below), whose sum is σ = 4509495901008. Its totient is φ = 858951600000.

The previous prime is 2004220400213. The next prime is 2004220400243. The reversal of 2004220400224 is 4220040224002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2004220400195 and 2004220400204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4473706027 + ... + 4473706474.

It is an arithmetic number, because the mean of its divisors is an integer number (187895662542).

Almost surely, 2^{2004220400224} is an apocalyptic number.

It is an amenable number.

2004220400224 is an abundant number, since it is smaller than the sum of its proper divisors (2505275500784).

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

2004220400224 is an equidigital number, since it uses as much as digits as its factorization.

2004220400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947412518 (or 8947412510 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2004220400224 its reverse (4220040224002), we get a palindrome (6224260624226).

The spelling of 2004220400224 in words is "two trillion, four billion, two hundred twenty million, four hundred thousand, two hundred twenty-four".