2220242341120 has 72 divisors (see below), whose sum is σ = 5461908787944. Its totient is φ = 864094298112.

The previous prime is 2220242341099. The next prime is 2220242341129. The reversal of 2220242341120 is 211432420222.

It can be written as a sum of positive squares in 4 ways, for example, as 958268703744 + 1261973637376 = 978912^2 + 1123376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220242341129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23392699 + ... + 23487418.

It is an arithmetic number, because the mean of its divisors is an integer number (75859844277).

Almost surely, 2^{2220242341120} is an apocalyptic number.

2220242341120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220242341120 is an abundant number, since it is smaller than the sum of its proper divisors (3241666446824).

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

2220242341120 is an equidigital number, since it uses as much as digits as its factorization.

2220242341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46880175 (or 46880161 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2220242341120 its reverse (211432420222), we get a palindrome (2431674761342).

The spelling of 2220242341120 in words is "two trillion, two hundred twenty billion, two hundred forty-two million, three hundred forty-one thousand, one hundred twenty".