2045200221 has 24 divisors (see below), whose sum is σ = 2999538360. Its totient is φ = 1342688256.

The previous prime is 2045200217. The next prime is 2045200237. The reversal of 2045200221 is 1220025402.

It can be written as a sum of positive squares in 4 ways, for example, as 36905625 + 2008294596 = 6075^2 + 44814^2 .

It is not a de Polignac number, because 2045200221 - 2² = 2045200217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2045200194 and 2045200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045200211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153265 + ... + 166073.

It is an arithmetic number, because the mean of its divisors is an integer number (124980765).

Almost surely, 2^2045200221 is an apocalyptic number.

It is an amenable number.

2045200221 is a deficient number, since it is larger than the sum of its proper divisors (954338139).

2045200221 is a wasteful number, since it uses less digits than its factorization.

2045200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13085 (or 13082 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2045200221 is about 45223.8899366253. The cubic root of 2045200221 is about 1269.3418833793.

Adding to 2045200221 its reverse (1220025402), we get a palindrome (3265225623).

The spelling of 2045200221 in words is "two billion, forty-five million, two hundred thousand, two hundred twenty-one".