2221413311 has 32 divisors (see below), whose sum is σ = 2542095360. Its totient is φ = 1926497664.

The previous prime is 2221413277. The next prime is 2221413317. The reversal of 2221413311 is 1133141222.

It is not a de Polignac number, because 2221413311 - 2¹⁴ = 2221396927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221413317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5014256 + ... + 5014698.

It is an arithmetic number, because the mean of its divisors is an integer number (79440480).

Almost surely, 2^2221413311 is an apocalyptic number.

2221413311 is a deficient number, since it is larger than the sum of its proper divisors (320682049).

2221413311 is a wasteful number, since it uses less digits than its factorization.

2221413311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its digits is 288, while the sum is 20.

The square root of 2221413311 is about 47131.8714990186. The cubic root of 2221413311 is about 1304.7975221550.

Adding to 2221413311 its reverse (1133141222), we get a palindrome (3354554533).

The spelling of 2221413311 in words is "two billion, two hundred twenty-one million, four hundred thirteen thousand, three hundred eleven".