242583822440 has 16 divisors (see below), whose sum is σ = 545813600580. Its totient is φ = 97033528960.

The previous prime is 242583822427. The next prime is 242583822461. The reversal of 242583822440 is 44228385242.

It is a happy number.

242583822440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 218573080324 + 24010742116 = 467518^2 + 154954^2 .

It is a super-3 number, since 3×242583822440³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242583822391 and 242583822400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3032297741 + ... + 3032297820.

Almost surely, 2^242583822440 is an apocalyptic number.

242583822440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242583822440 is an abundant number, since it is smaller than the sum of its proper divisors (303229778140).

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

242583822440 is a wasteful number, since it uses less digits than its factorization.

242583822440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064595572 (or 6064595568 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 44.

The spelling of 242583822440 in words is "two hundred forty-two billion, five hundred eighty-three million, eight hundred twenty-two thousand, four hundred forty".