242680037040 has 960 divisors, whose sum is σ = 1001603226624. Its totient is φ = 53452099584.

The previous prime is 242680037027. The next prime is 242680037071. The reversal of 242680037040 is 40730086242.

242680037040 is a `hidden beast` number, since 24 + 268 + 0 + 0 + 370 + 4 + 0 = 666.

242680037040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 242680036986 and 242680037004.

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 191 ways as a sum of consecutive naturals, for example, 790488567 + ... + 790488873.

Almost surely, 2^242680037040 is an apocalyptic number.

242680037040 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 242680037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500801613312).

242680037040 is an abundant number, since it is smaller than the sum of its proper divisors (758923189584).

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

242680037040 is a wasteful number, since it uses less digits than its factorization.

242680037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 242680037040 in words is "two hundred forty-two billion, six hundred eighty million, thirty-seven thousand, forty".