242859617280 has 2640 divisors, whose sum is σ = 1158818490720. Its totient is φ = 48157949952.

The previous prime is 242859617267. The next prime is 242859617281. The reversal of 242859617280 is 82716958242.

242859617280 is a `hidden beast` number, since 2 + 4 + 28 + 596 + 1 + 7 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242859617281) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6563773422 + ... + 6563773458.

It is an arithmetic number, because the mean of its divisors is an integer number (438946398).

Almost surely, 2^242859617280 is an apocalyptic number.

242859617280 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 242859617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579409245360).

242859617280 is an abundant number, since it is smaller than the sum of its proper divisors (915958873440).

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

242859617280 is a wasteful number, since it uses less digits than its factorization.

242859617280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 242859617280 in words is "two hundred forty-two billion, eight hundred fifty-nine million, six hundred seventeen thousand, two hundred eighty".