205293577242 has 32 divisors (see below), whose sum is σ = 465442931520. Its totient is φ = 59842661760.

The previous prime is 205293577193. The next prime is 205293577267. The reversal of 205293577242 is 242775392502.

It is a junction number, because it is equal to n+sod(n) for n = 205293577191 and 205293577200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69260859 + ... + 69263822.

It is an arithmetic number, because the mean of its divisors is an integer number (14545091610).

Almost surely, 2^205293577242 is an apocalyptic number.

205293577242 is an abundant number, since it is smaller than the sum of its proper divisors (260149354278).

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

205293577242 is a wasteful number, since it uses less digits than its factorization.

205293577242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138524718.

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 205293577242 in words is "two hundred five billion, two hundred ninety-three million, five hundred seventy-seven thousand, two hundred forty-two".