220205240640 has 1344 divisors, whose sum is σ = 989737781760. Its totient is φ = 43599790080.

The previous prime is 220205240627. The next prime is 220205240641. The reversal of 220205240640 is 46042502022.

It is a happy number.

220205240640 is a `hidden beast` number, since 2 + 202 + 0 + 52 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220205240641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 623810704 + ... + 623811056.

It is an arithmetic number, because the mean of its divisors is an integer number (736412040).

Almost surely, 2^220205240640 is an apocalyptic number.

220205240640 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 220205240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494868890880).

220205240640 is an abundant number, since it is smaller than the sum of its proper divisors (769532541120).

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

220205240640 is a wasteful number, since it uses less digits than its factorization.

220205240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 220205240640 its reverse (46042502022), we get a palindrome (266247742662).

The spelling of 220205240640 in words is "two hundred twenty billion, two hundred five million, two hundred forty thousand, six hundred forty".