242261760 has 288 divisors, whose sum is σ = 873589248. Its totient is φ = 56770560.

The previous prime is 242261753. The next prime is 242261777. The reversal of 242261760 is 67162242.

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 31 ways as a sum of consecutive naturals, for example, 1148055 + ... + 1148265.

It is an arithmetic number, because the mean of its divisors is an integer number (3033296).

Almost surely, 2^242261760 is an apocalyptic number.

242261760 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 242261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436794624).

242261760 is an abundant number, since it is smaller than the sum of its proper divisors (631327488).

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

242261760 is a wasteful number, since it uses less digits than its factorization.

242261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 242261760 is about 15564.7601973175. The cubic root of 242261760 is about 623.3925712875.

The spelling of 242261760 in words is "two hundred forty-two million, two hundred sixty-one thousand, seven hundred sixty".