2213021320 has 64 divisors (see below), whose sum is σ = 5260723200. Its totient is φ = 836478720.

The previous prime is 2213021311. The next prime is 2213021329. The reversal of 2213021320 is 231203122.

It is an interprime number because it is at equal distance from previous prime (2213021311) and next prime (2213021329).

It is a super-3 number, since 3×2213021320³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213021294 and 2213021303.

It is not an unprimeable number, because it can be changed into a prime (2213021329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34225 + ... + 74815.

It is an arithmetic number, because the mean of its divisors is an integer number (82198800).

Almost surely, 2^2213021320 is an apocalyptic number.

2213021320 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 2213021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630361600).

2213021320 is an abundant number, since it is smaller than the sum of its proper divisors (3047701880).

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

2213021320 is a wasteful number, since it uses less digits than its factorization.

2213021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40678 (or 40674 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2213021320 is about 47042.7605482501. The cubic root of 2213021320 is about 1303.1523732918.

Adding to 2213021320 its reverse (231203122), we get a palindrome (2444224442).

The spelling of 2213021320 in words is "two billion, two hundred thirteen million, twenty-one thousand, three hundred twenty".