242414640 has 320 divisors, whose sum is σ = 918691200. Its totient is φ = 58392576.

The previous prime is 242414621. The next prime is 242414647. The reversal of 242414640 is 46414242.

It is a happy number.

242414640 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 14 + 640 = 666.

242414640 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 (27).

It is not an unprimeable number, because it can be changed into a prime (242414647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2499072 + ... + 2499168.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2^242414640 is an apocalyptic number.

242414640 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 242414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459345600).

242414640 is an abundant number, since it is smaller than the sum of its proper divisors (676276560).

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

242414640 is a wasteful number, since it uses less digits than its factorization.

242414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242414640 is about 15569.6705167450. The cubic root of 242414640 is about 623.5236749554.

Adding to 242414640 its reverse (46414242), we get a palindrome (288828882).

The spelling of 242414640 in words is "two hundred forty-two million, four hundred fourteen thousand, six hundred forty".