2004220405 has 12 divisors (see below), whose sum is σ = 2643584076. Its totient is φ = 1457614400.

The previous prime is 2004220399. The next prime is 2004220429. The reversal of 2004220405 is 5040224002.

It can be written as a sum of positive squares in 2 ways, for example, as 1586508561 + 417711844 = 39831^2 + 20438^2 .

It is not a de Polignac number, because 2004220405 - 2⁵ = 2004220373 is a prime.

It is a Duffinian number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1655776 + ... + 1656985.

It is an arithmetic number, because the mean of its divisors is an integer number (220298673).

Almost surely, 2^2004220405 is an apocalyptic number.

It is an amenable number.

2004220405 is a deficient number, since it is larger than the sum of its proper divisors (639363671).

2004220405 is a wasteful number, since it uses less digits than its factorization.

2004220405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312788 (or 3312777 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2004220405 is about 44768.5202458156. The cubic root of 2004220405 is about 1260.8066567665.

Adding to 2004220405 its reverse (5040224002), we get a palindrome (7044444407).

The spelling of 2004220405 in words is "two billion, four million, two hundred twenty thousand, four hundred five".