242105400340 has 24 divisors (see below), whose sum is σ = 508460152032. Its totient is φ = 96834767520.

The previous prime is 242105400323. The next prime is 242105400347. The reversal of 242105400340 is 43004501242.

It is a happy number.

242105400340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242105400347) 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 7 ways as a sum of consecutive naturals, for example, 189574 + ... + 721213.

It is an arithmetic number, because the mean of its divisors is an integer number (21185839668).

Almost surely, 2^242105400340 is an apocalyptic number.

242105400340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242105400340 is an abundant number, since it is smaller than the sum of its proper divisors (266354751692).

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

242105400340 is a wasteful number, since it uses less digits than its factorization.

242105400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924087 (or 924085 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 242105400340 its reverse (43004501242), we get a palindrome (285109901582).

The spelling of 242105400340 in words is "two hundred forty-two billion, one hundred five million, four hundred thousand, three hundred forty".