242049290688 has 336 divisors, whose sum is σ = 767014976000. Its totient is φ = 75461787648.

The previous prime is 242049290687. The next prime is 242049290689. The reversal of 242049290688 is 886092940242.

242049290688 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 492 + 90 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (242049290687) and next prime (242049290689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242049290683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23338368 + ... + 23348736.

Almost surely, 2^242049290688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242049290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383507488000).

242049290688 is an abundant number, since it is smaller than the sum of its proper divisors (524965685312).

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

242049290688 is a wasteful number, since it uses less digits than its factorization.

242049290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10472 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 242049290688 in words is "two hundred forty-two billion, forty-nine million, two hundred ninety thousand, six hundred eighty-eight".