2213221320320 has 64 divisors (see below), whose sum is σ = 5292851553000. Its totient is φ = 884975751168.

The previous prime is 2213221320319. The next prime is 2213221320353. The reversal of 2213221320320 is 230231223122.

It can be written as a sum of positive squares in 4 ways, for example, as 944426337856 + 1268794982464 = 971816^2 + 1126408^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2213221320320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206206 + ... + 2425154.

Almost surely, 2^{2213221320320} is an apocalyptic number.

2213221320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213221320320 is an abundant number, since it is smaller than the sum of its proper divisors (3079630232680).

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

2213221320320 is a wasteful number, since it uses less digits than its factorization.

2213221320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221805 (or 1221793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2213221320320 its reverse (230231223122), we get a palindrome (2443452543442).

The spelling of 2213221320320 in words is "two trillion, two hundred thirteen billion, two hundred twenty-one million, three hundred twenty thousand, three hundred twenty".