242478742880 has 192 divisors, whose sum is σ = 645241282560. Its totient is φ = 85342924800.

The previous prime is 242478742867. The next prime is 242478742889. The reversal of 242478742880 is 88247874242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242478742889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9151091 + ... + 9177549.

It is an arithmetic number, because the mean of its divisors is an integer number (3360631680).

Almost surely, 2^242478742880 is an apocalyptic number.

242478742880 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 242478742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322620641280).

242478742880 is an abundant number, since it is smaller than the sum of its proper divisors (402762539680).

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

242478742880 is a wasteful number, since it uses less digits than its factorization.

242478742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26653 (or 26645 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 56.

The spelling of 242478742880 in words is "two hundred forty-two billion, four hundred seventy-eight million, seven hundred forty-two thousand, eight hundred eighty".