242123640 has 256 divisors, whose sum is σ = 839946240. Its totient is φ = 55296000.

The previous prime is 242123621. The next prime is 242123647. The reversal of 242123640 is 46321242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242123640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242123647) 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, 2496072 + ... + 2496168.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^242123640 is an apocalyptic number.

242123640 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 242123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

242123640 is an abundant number, since it is smaller than the sum of its proper divisors (597822600).

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

242123640 is a wasteful number, since it uses less digits than its factorization.

242123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 242123640 is about 15560.3226187634. The cubic root of 242123640 is about 623.2740777617.

Adding to 242123640 its reverse (46321242), we get a palindrome (288444882).

The spelling of 242123640 in words is "two hundred forty-two million, one hundred twenty-three thousand, six hundred forty".