242994240 has 168 divisors, whose sum is σ = 843198720. Its totient is φ = 64226304.

The previous prime is 242994233. The next prime is 242994251. The reversal of 242994240 is 42499242.

242994240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 242994195 and 242994204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400017 + ... + 400623.

It is an arithmetic number, because the mean of its divisors is an integer number (5019040).

Almost surely, 2^242994240 is an apocalyptic number.

242994240 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 242994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421599360).

242994240 is an abundant number, since it is smaller than the sum of its proper divisors (600204480).

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

242994240 is a wasteful number, since it uses less digits than its factorization.

242994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 242994240 is about 15588.2725149389. The cubic root of 242994240 is about 624.0202163076.

It can be divided in two parts, 2429 and 94240, that added together give a palindrome (96669).

The spelling of 242994240 in words is "two hundred forty-two million, nine hundred ninety-four thousand, two hundred forty".