242663040 has 320 divisors, whose sum is σ = 900472320. Its totient is φ = 62208000.

The previous prime is 242662963. The next prime is 242663077. The reversal of 242663040 is 40366242.

242663040 is a `hidden beast` number, since 2 + 4 + 26 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242662995 and 242663013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606965 + ... + 1607115.

It is an arithmetic number, because the mean of its divisors is an integer number (2813976).

Almost surely, 2^242663040 is an apocalyptic number.

242663040 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 242663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450236160).

242663040 is an abundant number, since it is smaller than the sum of its proper divisors (657809280).

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

242663040 is a wasteful number, since it uses less digits than its factorization.

242663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 242663040 is about 15577.6455217083. The cubic root of 242663040 is about 623.7365752001.

The spelling of 242663040 in words is "two hundred forty-two million, six hundred sixty-three thousand, forty".