220509928074240 has 2464 divisors, whose sum is σ = 947664440553600. Its totient is φ = 49161240576000.

The previous prime is 220509928074217. The next prime is 220509928074257. The reversal of 220509928074240 is 42470829905022.

220509928074240 is a `hidden beast` number, since 2 + 2 + 0 + 50 + 9 + 9 + 280 + 74 + 240 = 666.

It is a super-2 number, since 2×220509928074240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 52489864140 + ... + 52489868340.

It is an arithmetic number, because the mean of its divisors is an integer number (384604074900).

Almost surely, 2^{220509928074240} is an apocalyptic number.

220509928074240 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 220509928074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473832220276800).

220509928074240 is an abundant number, since it is smaller than the sum of its proper divisors (727154512479360).

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

220509928074240 is an frugal number, since it uses more digits than its factorization.

220509928074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 220509928074240 in words is "two hundred twenty trillion, five hundred nine billion, nine hundred twenty-eight million, seventy-four thousand, two hundred forty".