205952778240 has 576 divisors, whose sum is σ = 733832628480. Its totient is φ = 48905584640.

The previous prime is 205952778209. The next prime is 205952778277. The reversal of 205952778240 is 42877259502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924792267 + ... + 1924792373.

It is an arithmetic number, because the mean of its divisors is an integer number (1274014980).

Almost surely, 2^205952778240 is an apocalyptic number.

205952778240 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 205952778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366916314240).

205952778240 is an abundant number, since it is smaller than the sum of its proper divisors (527879850240).

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

205952778240 is an equidigital number, since it uses as much as digits as its factorization.

205952778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 205952778240 in words is "two hundred five billion, nine hundred fifty-two million, seven hundred seventy-eight thousand, two hundred forty".