242736005000 has 40 divisors (see below), whose sum is σ = 568730471430. Its totient is φ = 97094400000.

The previous prime is 242736004999. The next prime is 242736005003. The reversal of 242736005000 is 500637242.

It can be written as a sum of positive squares in 5 ways, for example, as 23564092036 + 219171912964 = 153506^2 + 468158^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (242736005003) 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 9 ways as a sum of consecutive naturals, for example, 24268601 + ... + 24278600.

Almost surely, 2^242736005000 is an apocalyptic number.

242736005000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242736005000 is an abundant number, since it is smaller than the sum of its proper divisors (325994466430).

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

242736005000 is an equidigital number, since it uses as much as digits as its factorization.

242736005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48547227 (or 48547208 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The spelling of 242736005000 in words is "two hundred forty-two billion, seven hundred thirty-six million, five thousand".