242595727920 has 1280 divisors, whose sum is σ = 1059598848000. Its totient is φ = 49958498304.

The previous prime is 242595727897. The next prime is 242595727931. The reversal of 242595727920 is 29727595242.

242595727920 is a `hidden beast` number, since 2 + 4 + 2 + 595 + 7 + 27 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2225648826 + ... + 2225648934.

It is an arithmetic number, because the mean of its divisors is an integer number (827811600).

Almost surely, 2^242595727920 is an apocalyptic number.

242595727920 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 242595727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529799424000).

242595727920 is an abundant number, since it is smaller than the sum of its proper divisors (817003120080).

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

242595727920 is a wasteful number, since it uses less digits than its factorization.

242595727920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 242595727920 in words is "two hundred forty-two billion, five hundred ninety-five million, seven hundred twenty-seven thousand, nine hundred twenty".