2221322400 has 288 divisors, whose sum is σ = 8765064000. Its totient is φ = 538444800.

The previous prime is 2221322377. The next prime is 2221322429. The reversal of 2221322400 is 42231222.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 232926 + ... + 242274.

It is an arithmetic number, because the mean of its divisors is an integer number (30434250).

Almost surely, 2^2221322400 is an apocalyptic number.

2221322400 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 2221322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382532000).

2221322400 is an abundant number, since it is smaller than the sum of its proper divisors (6543741600).

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

2221322400 is a wasteful number, since it uses less digits than its factorization.

2221322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2221322400 is about 47130.9070568348. The cubic root of 2221322400 is about 1304.7797223658.

Adding to 2221322400 its reverse (42231222), we get a palindrome (2263553622).

The spelling of 2221322400 in words is "two billion, two hundred twenty-one million, three hundred twenty-two thousand, four hundred".