242780160 has 192 divisors, whose sum is σ = 888451200. Its totient is φ = 55443456.

The previous prime is 242780159. The next prime is 242780171. The reversal of 242780160 is 61087242.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214476 + ... + 215604.

It is an arithmetic number, because the mean of its divisors is an integer number (4627350).

Almost surely, 2^242780160 is an apocalyptic number.

242780160 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 242780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444225600).

242780160 is an abundant number, since it is smaller than the sum of its proper divisors (645671040).

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

242780160 is a wasteful number, since it uses less digits than its factorization.

242780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 242780160 is about 15581.4043012817. The cubic root of 242780160 is about 623.8369067519.

The spelling of 242780160 in words is "two hundred forty-two million, seven hundred eighty thousand, one hundred sixty".