205098240 has 72 divisors (see below), whose sum is σ = 655044768. Its totient is φ = 54691840.

The previous prime is 205098233. The next prime is 205098281. The reversal of 205098240 is 42890502.

205098240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 205098198 and 205098207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22866 + ... + 30545.

It is an arithmetic number, because the mean of its divisors is an integer number (9097844).

Almost surely, 2^205098240 is an apocalyptic number.

205098240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205098240 is an abundant number, since it is smaller than the sum of its proper divisors (449946528).

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

205098240 is an equidigital number, since it uses as much as digits as its factorization.

205098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53435 (or 53421 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 205098240 is about 14321.2513419743. The cubic root of 205098240 is about 589.7310274506.

The spelling of 205098240 in words is "two hundred five million, ninety-eight thousand, two hundred forty".