242220442000 has 80 divisors (see below), whose sum is σ = 592270239600. Its totient is φ = 95799475200.

The previous prime is 242220441997. The next prime is 242220442081. The reversal of 242220442000 is 244022242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 157056860416 + 85163581584 = 396304^2 + 291828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502395 + ... + 858394.

It is an arithmetic number, because the mean of its divisors is an integer number (7403377995).

Almost surely, 2^242220442000 is an apocalyptic number.

242220442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242220442000 is an abundant number, since it is smaller than the sum of its proper divisors (350049797600).

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

242220442000 is a wasteful number, since it uses less digits than its factorization.

242220442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360901 (or 1360885 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 242220442000 its reverse (244022242), we get a palindrome (242464464242).

The spelling of 242220442000 in words is "two hundred forty-two billion, two hundred twenty million, four hundred forty-two thousand".