242400305211 has 16 divisors (see below), whose sum is σ = 342233517600. Its totient is φ = 152084832768.

The previous prime is 242400305197. The next prime is 242400305221. The reversal of 242400305211 is 112503004242.

It is not a de Polignac number, because 242400305211 - 2¹⁰ = 242400304187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242400305221) 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 15 ways as a sum of consecutive naturals, for example, 728925 + ... + 1008033.

It is an arithmetic number, because the mean of its divisors is an integer number (21389594850).

Almost surely, 2^242400305211 is an apocalyptic number.

242400305211 is a deficient number, since it is larger than the sum of its proper divisors (99833212389).

242400305211 is a wasteful number, since it uses less digits than its factorization.

242400305211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296158.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 242400305211 its reverse (112503004242), we get a palindrome (354903309453).

The spelling of 242400305211 in words is "two hundred forty-two billion, four hundred million, three hundred five thousand, two hundred eleven".