2221200320 has 224 divisors, whose sum is σ = 5816681280. Its totient is φ = 805109760.

The previous prime is 2221200287. The next prime is 2221200329. The reversal of 2221200320 is 230021222.

It is a junction number, because it is equal to n+sod(n) for n = 2221200295 and 2221200304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221200329) 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, 19656584 + ... + 19656696.

Almost surely, 2^2221200320 is an apocalyptic number.

2221200320 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 2221200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908340640).

2221200320 is an abundant number, since it is smaller than the sum of its proper divisors (3595480960).

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

2221200320 is a wasteful number, since it uses less digits than its factorization.

2221200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2221200320 is about 47129.6119228665. The cubic root of 2221200320 is about 1304.7558191229.

Adding to 2221200320 its reverse (230021222), we get a palindrome (2451221542).

The spelling of 2221200320 in words is "two billion, two hundred twenty-one million, two hundred thousand, three hundred twenty".