2221300344420 has 288 divisors, whose sum is σ = 7082336701440. Its totient is φ = 562793840640.

The previous prime is 2221300344413. The next prime is 2221300344463. The reversal of 2221300344420 is 244430031222.

2221300344420 is a `hidden beast` number, since 2 + 2 + 213 + 0 + 0 + 3 + 4 + 442 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282137604 + ... + 282145476.

It is an arithmetic number, because the mean of its divisors is an integer number (24591446880).

Almost surely, 2^{2221300344420} is an apocalyptic number.

2221300344420 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 2221300344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541168350720).

2221300344420 is an abundant number, since it is smaller than the sum of its proper divisors (4861036357020).

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

2221300344420 is a wasteful number, since it uses less digits than its factorization.

2221300344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2221300344420 its reverse (244430031222), we get a palindrome (2465730375642).

The spelling of 2221300344420 in words is "two trillion, two hundred twenty-one billion, three hundred million, three hundred forty-four thousand, four hundred twenty".