205252545110240 has 24 divisors (see below), whose sum is σ = 484909137823320. Its totient is φ = 82101018044032.

The previous prime is 205252545110201. The next prime is 205252545110287. The reversal of 205252545110240 is 42011545252502.

It is a super-2 number, since 2×205252545110240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205252545110194 and 205252545110203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 641414203310 + ... + 641414203629.

It is an arithmetic number, because the mean of its divisors is an integer number (20204547409305).

Almost surely, 2^{205252545110240} is an apocalyptic number.

205252545110240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205252545110240 is an abundant number, since it is smaller than the sum of its proper divisors (279656592713080).

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

205252545110240 is a wasteful number, since it uses less digits than its factorization.

205252545110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282828406954 (or 1282828406946 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 38.

The spelling of 205252545110240 in words is "two hundred five trillion, two hundred fifty-two billion, five hundred forty-five million, one hundred ten thousand, two hundred forty".