2220243042304 has 135 divisors (see below), whose sum is σ = 5168413651527. Its totient is φ = 950960553984.

The previous prime is 2220243042263. The next prime is 2220243042319. The reversal of 2220243042304 is 4032403420222.

It is a happy number.

The square root of 2220243042304 is 1490048.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 8 ways as a sum of consecutive naturals, for example, 1335082177 + ... + 1335083839.

Almost surely, 2^{2220243042304} is an apocalyptic number.

2220243042304 is the 1490048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220243042304

2220243042304 is an abundant number, since it is smaller than the sum of its proper divisors (2948170609223).

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

2220243042304 is an frugal number, since it uses more digits than its factorization.

2220243042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 2220243042304 its reverse (4032403420222), we get a palindrome (6252646462526).

The spelling of 2220243042304 in words is "two trillion, two hundred twenty billion, two hundred forty-three million, forty-two thousand, three hundred four".