242867829600 has 1152 divisors, whose sum is σ = 995021314560. Its totient is φ = 56659968000.

The previous prime is 242867829599. The next prime is 242867829613. The reversal of 242867829600 is 6928768242.

242867829600 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 6 + 7 + 8 + 29 + 600 = 666.

It is a super-2 number, since 2×242867829600² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042351084 + ... + 1042351316.

It is an arithmetic number, because the mean of its divisors is an integer number (863733780).

Almost surely, 2^242867829600 is an apocalyptic number.

242867829600 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 242867829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497510657280).

242867829600 is an abundant number, since it is smaller than the sum of its proper divisors (752153484960).

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

242867829600 is a wasteful number, since it uses less digits than its factorization.

242867829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 242867829600 in words is "two hundred forty-two billion, eight hundred sixty-seven million, eight hundred twenty-nine thousand, six hundred".