2213335120 has 80 divisors (see below), whose sum is σ = 5262051600. Its totient is φ = 865492992.

The previous prime is 2213335097. The next prime is 2213335121. The reversal of 2213335120 is 215333122.

It can be written as a sum of positive squares in 8 ways, for example, as 55175184 + 2158159936 = 7428^2 + 46456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2213335091 and 2213335100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213335121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428106 + ... + 1429654.

It is an arithmetic number, because the mean of its divisors is an integer number (65775645).

Almost surely, 2^2213335120 is an apocalyptic number.

2213335120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631025800).

2213335120 is an abundant number, since it is smaller than the sum of its proper divisors (3048716480).

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

2213335120 is a wasteful number, since it uses less digits than its factorization.

2213335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2213335120 is about 47046.0956934792. The cubic root of 2213335120 is about 1303.2139647888.

Adding to 2213335120 its reverse (215333122), we get a palindrome (2428668242).

The spelling of 2213335120 in words is "two billion, two hundred thirteen million, three hundred thirty-five thousand, one hundred twenty".