205052046240 has 96 divisors (see below), whose sum is σ = 679909446720. Its totient is φ = 51802619904.

The previous prime is 205052046239. The next prime is 205052046253. The reversal of 205052046240 is 42640250502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×205052046240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205052046198 and 205052046207.

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, 11232769 + ... + 11251008.

It is an arithmetic number, because the mean of its divisors is an integer number (7082390070).

Almost surely, 2^205052046240 is an apocalyptic number.

205052046240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205052046240 is an abundant number, since it is smaller than the sum of its proper divisors (474857400480).

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

205052046240 is a wasteful number, since it uses less digits than its factorization.

205052046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22483814 (or 22483806 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 205052046240 its reverse (42640250502), we get a palindrome (247692296742).

The spelling of 205052046240 in words is "two hundred five billion, fifty-two million, forty-six thousand, two hundred forty".