242922240 has 432 divisors, whose sum is σ = 964244736. Its totient is φ = 58060800.

The previous prime is 242922233. The next prime is 242922259. The reversal of 242922240 is 42229242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×242922240² = 118022429373235200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421405 + ... + 3421475.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^242922240 is an apocalyptic number.

242922240 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 242922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

242922240 is an abundant number, since it is smaller than the sum of its proper divisors (721322496).

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

242922240 is an equidigital number, since it uses as much as digits as its factorization.

242922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242922240 is about 15585.9629153928. The cubic root of 242922240 is about 623.9585771320.

The spelling of 242922240 in words is "two hundred forty-two million, nine hundred twenty-two thousand, two hundred forty".