242505147360 has 288 divisors, whose sum is σ = 900787239072. Its totient is φ = 54670049280.

The previous prime is 242505147343. The next prime is 242505147431. The reversal of 242505147360 is 63741505242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646340 + ... + 1787580.

It is an arithmetic number, because the mean of its divisors is an integer number (3127733469).

Almost surely, 2^242505147360 is an apocalyptic number.

242505147360 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 242505147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450393619536).

242505147360 is an abundant number, since it is smaller than the sum of its proper divisors (658282091712).

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

242505147360 is a wasteful number, since it uses less digits than its factorization.

242505147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141346 (or 141331 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 242505147360 in words is "two hundred forty-two billion, five hundred five million, one hundred forty-seven thousand, three hundred sixty".