242698315392 has 256 divisors, whose sum is σ = 772250976000. Its totient is φ = 74593751040.

The previous prime is 242698315337. The next prime is 242698315399. The reversal of 242698315392 is 293513896242.

242698315392 is a `hidden beast` number, since 2 + 4 + 26 + 9 + 83 + 1 + 539 + 2 = 666.

It is a super-2 number, since 2×242698315392² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (242698315399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49822717 + ... + 49827587.

It is an arithmetic number, because the mean of its divisors is an integer number (3016605375).

Almost surely, 2^242698315392 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 242698315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386125488000).

242698315392 is an abundant number, since it is smaller than the sum of its proper divisors (529552660608).

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

242698315392 is a wasteful number, since it uses less digits than its factorization.

242698315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 5998 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 242698315392 in words is "two hundred forty-two billion, six hundred ninety-eight million, three hundred fifteen thousand, three hundred ninety-two".