242475566300 has 216 divisors, whose sum is σ = 589508321136. Its totient is φ = 86486400000.

The previous prime is 242475566257. The next prime is 242475566303. The reversal of 242475566300 is 3665574242.

242475566300 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 (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242475566303) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 186375650 + ... + 186376950.

Almost surely, 2^242475566300 is an apocalyptic number.

242475566300 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 242475566300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294754160568).

242475566300 is an abundant number, since it is smaller than the sum of its proper divisors (347032754836).

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

242475566300 is a wasteful number, since it uses less digits than its factorization.

242475566300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 242475566300 in words is "two hundred forty-two billion, four hundred seventy-five million, five hundred sixty-six thousand, three hundred".