220238874240 has 512 divisors, whose sum is σ = 887268003840. Its totient is φ = 45134807040.

The previous prime is 220238874199. The next prime is 220238874253. The reversal of 220238874240 is 42478832022.

220238874240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 220238874192 and 220238874201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10782117 + ... + 10802523.

It is an arithmetic number, because the mean of its divisors is an integer number (1732945320).

Almost surely, 2^220238874240 is an apocalyptic number.

220238874240 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 220238874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443634001920).

220238874240 is an abundant number, since it is smaller than the sum of its proper divisors (667029129600).

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

220238874240 is a wasteful number, since it uses less digits than its factorization.

220238874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20520 (or 20508 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 220238874240 in words is "two hundred twenty billion, two hundred thirty-eight million, eight hundred seventy-four thousand, two hundred forty".