242692009338240 has 864 divisors, whose sum is σ = 1071551095130880. Its totient is φ = 50429501337600.

The previous prime is 242692009338227. The next prime is 242692009338283. The reversal of 242692009338240 is 42833900296242.

242692009338240 is a `hidden beast` number, since 2 + 4 + 2 + 69 + 2 + 0 + 0 + 9 + 338 + 240 = 666.

It is a super-2 number, since 2×242692009338240² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 30597825 + ... + 37704255.

It is an arithmetic number, because the mean of its divisors is an integer number (1240221174920).

Almost surely, 2^{242692009338240} is an apocalyptic number.

242692009338240 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 242692009338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535775547565440).

242692009338240 is an abundant number, since it is smaller than the sum of its proper divisors (828859085792640).

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

242692009338240 is a wasteful number, since it uses less digits than its factorization.

242692009338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106492 (or 7106459 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 242692009338240 in words is "two hundred forty-two trillion, six hundred ninety-two billion, nine million, three hundred thirty-eight thousand, two hundred forty".