242267760 has 400 divisors, whose sum is σ = 990264000. Its totient is φ = 54867456.

The previous prime is 242267741. The next prime is 242267777. The reversal of 242267760 is 67762242.

242267760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222586 + ... + 2222694.

It is an arithmetic number, because the mean of its divisors is an integer number (2475660).

Almost surely, 2^242267760 is an apocalyptic number.

242267760 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 242267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495132000).

242267760 is an abundant number, since it is smaller than the sum of its proper divisors (747996240).

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

242267760 is a wasteful number, since it uses less digits than its factorization.

242267760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 242267760 is about 15564.9529392157. The cubic root of 242267760 is about 623.3977176831.

The spelling of 242267760 in words is "two hundred forty-two million, two hundred sixty-seven thousand, seven hundred sixty".