242497153600 has 189 divisors, whose sum is σ = 646807883547. Its totient is φ = 89442862080.

The previous prime is 242497153583. The next prime is 242497153601. The reversal of 242497153600 is 6351794242.

The square root of 242497153600 is 492440.

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

242497153600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62504000064 + 179993153536 = 250008^2 + 424256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242497153601) 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 26 ways as a sum of consecutive naturals, for example, 256068327 + ... + 256069273.

Almost surely, 2^242497153600 is an apocalyptic number.

242497153600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

242497153600 is the 492440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242497153600

242497153600 is an abundant number, since it is smaller than the sum of its proper divisors (404310729947).

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

242497153600 is an frugal number, since it uses more digits than its factorization.

242497153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 242497153600 in words is "two hundred forty-two billion, four hundred ninety-seven million, one hundred fifty-three thousand, six hundred".