242298587381760 has 4896 divisors, whose sum is σ = 1159534705073472. Its totient is φ = 47943914618880.

The previous prime is 242298587381701. The next prime is 242298587381779. The reversal of 242298587381760 is 67183785892242.

242298587381760 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 9 + 8 + 587 + 38 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 862272552820 + ... + 862272553100.

It is a 2-persistent number, because it is pandigital, and so is 2⋅242298587381760 = 484597174763520, but 3⋅242298587381760 = 726895762145280 is not.

Almost surely, 2^{242298587381760} is an apocalyptic number.

242298587381760 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 242298587381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579767352536736).

242298587381760 is an abundant number, since it is smaller than the sum of its proper divisors (917236117691712).

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

242298587381760 is an equidigital number, since it uses as much as digits as its factorization.

242298587381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 242298587381760 in words is "two hundred forty-two trillion, two hundred ninety-eight billion, five hundred eighty-seven million, three hundred eighty-one thousand, seven hundred sixty".