242024641600 has 315 divisors, whose sum is σ = 697524797861. Its totient is φ = 82649280000.

The previous prime is 242024641559. The next prime is 242024641603. The reversal of 242024641600 is 6146420242.

It is a happy number.

The square root of 242024641600 is 491960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87128870976 + 154895770624 = 295176^2 + 393568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242024641603) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 964241475 + ... + 964241725.

Almost surely, 2^242024641600 is an apocalyptic number.

242024641600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

242024641600 is the 491960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242024641600

242024641600 is an abundant number, since it is smaller than the sum of its proper divisors (455500156261).

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

242024641600 is an frugal number, since it uses more digits than its factorization.

242024641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 242024641600 in words is "two hundred forty-two billion, twenty-four million, six hundred forty-one thousand, six hundred".