242543840 has 96 divisors (see below), whose sum is σ = 714438144. Its totient is φ = 75594240.

The previous prime is 242543831. The next prime is 242543929. The reversal of 242543840 is 48345242.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 242543797 and 242543806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2477 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (7442064).

Almost surely, 2^242543840 is an apocalyptic number.

242543840 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 242543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357219072).

242543840 is an abundant number, since it is smaller than the sum of its proper divisors (471894304).

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

242543840 is a wasteful number, since it uses less digits than its factorization.

242543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19720 (or 19712 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 242543840 is about 15573.8190563522. The cubic root of 242543840 is about 623.6344286502.

The spelling of 242543840 in words is "two hundred forty-two million, five hundred forty-three thousand, eight hundred forty".