242872318080 has 1536 divisors, whose sum is σ = 1055920320000. Its totient is φ = 53258010624.

The previous prime is 242872318061. The next prime is 242872318097. The reversal of 242872318080 is 80813278242.

242872318080 is a `hidden beast` number, since 2 + 428 + 72 + 3 + 1 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1546957362 + ... + 1546957518.

It is an arithmetic number, because the mean of its divisors is an integer number (687448125).

Almost surely, 2^242872318080 is an apocalyptic number.

242872318080 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 242872318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527960160000).

242872318080 is an abundant number, since it is smaller than the sum of its proper divisors (813048001920).

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

242872318080 is an equidigital number, since it uses as much as digits as its factorization.

242872318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 242872318080 in words is "two hundred forty-two billion, eight hundred seventy-two million, three hundred eighteen thousand, eighty".