242511279360 has 432 divisors, whose sum is σ = 897987936384. Its totient is φ = 54639525888.

The previous prime is 242511279349. The next prime is 242511279379. The reversal of 242511279360 is 63972115242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143242674 + ... + 143244366.

Almost surely, 2^242511279360 is an apocalyptic number.

242511279360 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 242511279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448993968192).

242511279360 is an abundant number, since it is smaller than the sum of its proper divisors (655476657024).

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

242511279360 is an equidigital number, since it uses as much as digits as its factorization.

242511279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 242511279360 in words is "two hundred forty-two billion, five hundred eleven million, two hundred seventy-nine thousand, three hundred sixty".