242745120 has 192 divisors, whose sum is σ = 861114240. Its totient is φ = 63857664.

The previous prime is 242745101. The next prime is 242745127. The reversal of 242745120 is 21547242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242745127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358222 + ... + 358898.

It is an arithmetic number, because the mean of its divisors is an integer number (4484970).

Almost surely, 2^242745120 is an apocalyptic number.

242745120 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 242745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430557120).

242745120 is an abundant number, since it is smaller than the sum of its proper divisors (618369120).

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

242745120 is a wasteful number, since it uses less digits than its factorization.

242745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 242745120 is about 15580.2798434431. The cubic root of 242745120 is about 623.8068929087.

The spelling of 242745120 in words is "two hundred forty-two million, seven hundred forty-five thousand, one hundred twenty".