2005414221 has 8 divisors (see below), whose sum is σ = 2679203520. Its totient is φ = 1334283872.

The previous prime is 2005414217. The next prime is 2005414237. The reversal of 2005414221 is 1224145002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005414221 - 2² = 2005414217 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005414291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662976 + ... + 665993.

It is an arithmetic number, because the mean of its divisors is an integer number (334900440).

Almost surely, 2^2005414221 is an apocalyptic number.

It is an amenable number.

2005414221 is a deficient number, since it is larger than the sum of its proper divisors (673789299).

2005414221 is a wasteful number, since it uses less digits than its factorization.

2005414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329475.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2005414221 is about 44781.8514690940. The cubic root of 2005414221 is about 1261.0569406845.

Adding to 2005414221 its reverse (1224145002), we get a palindrome (3229559223).

The spelling of 2005414221 in words is "two billion, five million, four hundred fourteen thousand, two hundred twenty-one".