242657240 has 64 divisors (see below), whose sum is σ = 637286400. Its totient is φ = 81422208.

The previous prime is 242657221. The next prime is 242657281. The reversal of 242657240 is 42756242.

It is a super-2 number, since 2×242657240² = 117765072248835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242657197 and 242657206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3941 + ... + 22379.

It is an arithmetic number, because the mean of its divisors is an integer number (9957600).

Almost surely, 2^242657240 is an apocalyptic number.

242657240 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 242657240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318643200).

242657240 is an abundant number, since it is smaller than the sum of its proper divisors (394629160).

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

242657240 is a wasteful number, since it uses less digits than its factorization.

242657240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18504 (or 18500 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 242657240 is about 15577.4593563906. The cubic root of 242657240 is about 623.7316057563.

The spelling of 242657240 in words is "two hundred forty-two million, six hundred fifty-seven thousand, two hundred forty".