205200302422240 has 384 divisors, whose sum is σ = 537998678784000. Its totient is φ = 73677256114176.

The previous prime is 205200302422207. The next prime is 205200302422249. The reversal of 205200302422240 is 42224203002502.

It is a super-2 number, since 2×205200302422240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205200302422199 and 205200302422208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205200302422249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648513991 + ... + 648830329.

It is an arithmetic number, because the mean of its divisors is an integer number (1401038226000).

Almost surely, 2^{205200302422240} is an apocalyptic number.

205200302422240 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 205200302422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268999339392000).

205200302422240 is an abundant number, since it is smaller than the sum of its proper divisors (332798376361760).

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

205200302422240 is a wasteful number, since it uses less digits than its factorization.

205200302422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316562 (or 316554 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 205200302422240 its reverse (42224203002502), we get a palindrome (247424505424742).

The spelling of 205200302422240 in words is "two hundred five trillion, two hundred billion, three hundred two million, four hundred twenty-two thousand, two hundred forty".