242805386160 has 480 divisors, whose sum is σ = 885113349120. Its totient is φ = 61741937664.

The previous prime is 242805386147. The next prime is 242805386177. The reversal of 242805386160 is 61683508242.

242805386160 is a `hidden beast` number, since 2 + 4 + 28 + 0 + 5 + 3 + 8 + 616 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 196285062 + ... + 196286298.

It is an arithmetic number, because the mean of its divisors is an integer number (1843986144).

Almost surely, 2^242805386160 is an apocalyptic number.

242805386160 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 242805386160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442556674560).

242805386160 is an abundant number, since it is smaller than the sum of its proper divisors (642307962960).

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

242805386160 is a wasteful number, since it uses less digits than its factorization.

242805386160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 242805386160 in words is "two hundred forty-two billion, eight hundred five million, three hundred eighty-six thousand, one hundred sixty".