242829306000 has 640 divisors, whose sum is σ = 904937080320. Its totient is φ = 62194176000.

The previous prime is 242829305963. The next prime is 242829306001. The reversal of 242829306000 is 603928242.

242829306000 is a `hidden beast` number, since 2 + 4 + 28 + 29 + 3 + 0 + 600 + 0 = 666.

242829306000 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (242829306001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148337182 + ... + 148338818.

It is an arithmetic number, because the mean of its divisors is an integer number (1413964188).

Almost surely, 2^242829306000 is an apocalyptic number.

242829306000 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 242829306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452468540160).

242829306000 is an abundant number, since it is smaller than the sum of its proper divisors (662107774320).

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

242829306000 is a wasteful number, since it uses less digits than its factorization.

242829306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 242829306000 in words is "two hundred forty-two billion, eight hundred twenty-nine million, three hundred six thousand".