242936640 has 168 divisors, whose sum is σ = 848746080. Its totient is φ = 63765504.

The previous prime is 242936633. The next prime is 242936651. The reversal of 242936640 is 46639242.

242936640 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 3 + 6 + 640 = 666.

It is a super-2 number, since 2×242936640² = 118036422108979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242936595 and 242936604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192331 + ... + 193589.

It is an arithmetic number, because the mean of its divisors is an integer number (5052060).

Almost surely, 2^242936640 is an apocalyptic number.

242936640 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 242936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424373040).

242936640 is an abundant number, since it is smaller than the sum of its proper divisors (605809440).

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

242936640 is a wasteful number, since it uses less digits than its factorization.

242936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 242936640 is about 15586.4248626810. The cubic root of 242936640 is about 623.9709059413.

The spelling of 242936640 in words is "two hundred forty-two million, nine hundred thirty-six thousand, six hundred forty".