242034687360 has 768 divisors, whose sum is σ = 910461726720. Its totient is φ = 61361971200.

The previous prime is 242034687359. The next prime is 242034687361. The reversal of 242034687360 is 63786430242.

242034687360 is a `hidden beast` number, since 2 + 4 + 203 + 4 + 6 + 87 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (242034687359) and next prime (242034687361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242034687361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294087909 + ... + 294088731.

It is an arithmetic number, because the mean of its divisors is an integer number (1185497040).

Almost surely, 2^242034687360 is an apocalyptic number.

242034687360 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 242034687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455230863360).

242034687360 is an abundant number, since it is smaller than the sum of its proper divisors (668427039360).

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

242034687360 is an equidigital number, since it uses as much as digits as its factorization.

242034687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 242034687360 in words is "two hundred forty-two billion, thirty-four million, six hundred eighty-seven thousand, three hundred sixty".