2005222304 has 48 divisors (see below), whose sum is σ = 4188441600. Its totient is φ = 942326784.

The previous prime is 2005222277. The next prime is 2005222337. The reversal of 2005222304 is 4032225002.

It is a super-5 number, since 5×2005222304⁵ (a number of 48 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64232 + ... + 90200.

It is an arithmetic number, because the mean of its divisors is an integer number (87259200).

Almost surely, 2^2005222304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094220800).

2005222304 is an abundant number, since it is smaller than the sum of its proper divisors (2183219296).

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

2005222304 is a wasteful number, since it uses less digits than its factorization.

2005222304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26125 (or 26117 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2005222304 is about 44779.7086189716. The cubic root of 2005222304 is about 1261.0167119239.

Adding to 2005222304 its reverse (4032225002), we get a palindrome (6037447306).

The spelling of 2005222304 in words is "two billion, five million, two hundred twenty-two thousand, three hundred four".