205248510740 has 192 divisors, whose sum is σ = 547828216320. Its totient is φ = 62862428160.

The previous prime is 205248510713. The next prime is 205248510757. The reversal of 205248510740 is 47015842502.

205248510740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205248510694 and 205248510703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8518310 + ... + 8542370.

It is an arithmetic number, because the mean of its divisors is an integer number (2853271960).

Almost surely, 2^205248510740 is an apocalyptic number.

205248510740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205248510740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273914108160).

205248510740 is an abundant number, since it is smaller than the sum of its proper divisors (342579705580).

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

205248510740 is a wasteful number, since it uses less digits than its factorization.

205248510740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24242 (or 24240 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 205248510740 in words is "two hundred five billion, two hundred forty-eight million, five hundred ten thousand, seven hundred forty".