242948640 has 288 divisors, whose sum is σ = 868734720. Its totient is φ = 56995840.

The previous prime is 242948639. The next prime is 242948653. The reversal of 242948640 is 46849242.

It is a super-3 number, since 3×242948640³ (a number of 26 digits) contains 333 as substring.

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, 2729716 + ... + 2729804.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^242948640 is an apocalyptic number.

242948640 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 242948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

242948640 is an abundant number, since it is smaller than the sum of its proper divisors (625786080).

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

242948640 is a wasteful number, since it uses less digits than its factorization.

242948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 242948640 is about 15586.8098082962. The cubic root of 242948640 is about 623.9811795770.

The spelling of 242948640 in words is "two hundred forty-two million, nine hundred forty-eight thousand, six hundred forty".