2213011320 has 256 divisors, whose sum is σ = 7584192000. Its totient is φ = 512096256.

The previous prime is 2213011249. The next prime is 2213011327. The reversal of 2213011320 is 231103122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2213011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213011327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5838891 + ... + 5839269.

It is an arithmetic number, because the mean of its divisors is an integer number (29625750).

Almost surely, 2^2213011320 is an apocalyptic number.

2213011320 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 2213011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096000).

2213011320 is an abundant number, since it is smaller than the sum of its proper divisors (5371180680).

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

2213011320 is a wasteful number, since it uses less digits than its factorization.

2213011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2213011320 is about 47042.6542618505. The cubic root of 2213011320 is about 1303.1504104333.

Adding to 2213011320 its reverse (231103122), we get a palindrome (2444114442).

The spelling of 2213011320 in words is "two billion, two hundred thirteen million, eleven thousand, three hundred twenty".