242824916480 has 160 divisors (see below), whose sum is σ = 591652131840. Its totient is φ = 95563653120.

The previous prime is 242824916479. The next prime is 242824916599. The reversal of 242824916480 is 84619428242.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62085725 + ... + 62089635.

It is an arithmetic number, because the mean of its divisors is an integer number (3697825824).

Almost surely, 2^242824916480 is an apocalyptic number.

242824916480 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 242824916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295826065920).

242824916480 is an abundant number, since it is smaller than the sum of its proper divisors (348827215360).

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

242824916480 is an equidigital number, since it uses as much as digits as its factorization.

242824916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The spelling of 242824916480 in words is "two hundred forty-two billion, eight hundred twenty-four million, nine hundred sixteen thousand, four hundred eighty".