242242844480 has 560 divisors, whose sum is σ = 736269515520. Its totient is φ = 75448848384.

The previous prime is 242242844423. The next prime is 242242844491. The reversal of 242242844480 is 84448242242.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×242242844480² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 789064487 + ... + 789064793.

It is an arithmetic number, because the mean of its divisors is an integer number (1314766992).

Almost surely, 2^242242844480 is an apocalyptic number.

242242844480 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 242242844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368134757760).

242242844480 is an abundant number, since it is smaller than the sum of its proper divisors (494026671040).

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

242242844480 is an equidigital number, since it uses as much as digits as its factorization.

242242844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 242242844480 in words is "two hundred forty-two billion, two hundred forty-two million, eight hundred forty-four thousand, four hundred eighty".