205132236240 has 320 divisors, whose sum is σ = 673156915200. Its totient is φ = 51571660800.

The previous prime is 205132236233. The next prime is 205132236247. The reversal of 205132236240 is 42632231502.

205132236240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205132236233) and next prime (205132236247).

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 = 205132236198 and 205132236207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205132236247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146627061 + ... + 146628459.

It is an arithmetic number, because the mean of its divisors is an integer number (2103615360).

Almost surely, 2^205132236240 is an apocalyptic number.

205132236240 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 205132236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336578457600).

205132236240 is an abundant number, since it is smaller than the sum of its proper divisors (468024678960).

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

205132236240 is a wasteful number, since it uses less digits than its factorization.

205132236240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 205132236240 its reverse (42632231502), we get a palindrome (247764467742).

The spelling of 205132236240 in words is "two hundred five billion, one hundred thirty-two million, two hundred thirty-six thousand, two hundred forty".