221006883240 has 640 divisors, whose sum is σ = 876925526400. Its totient is φ = 49216481280.

The previous prime is 221006883221. The next prime is 221006883241. The reversal of 221006883240 is 42388600122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221006883195 and 221006883204.

It is not an unprimeable number, because it can be changed into a prime (221006883241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 106099239 + ... + 106101321.

It is an arithmetic number, because the mean of its divisors is an integer number (1370196135).

Almost surely, 2^221006883240 is an apocalyptic number.

221006883240 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 221006883240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438462763200).

221006883240 is an abundant number, since it is smaller than the sum of its proper divisors (655918643160).

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

221006883240 is a wasteful number, since it uses less digits than its factorization.

221006883240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 221006883240 in words is "two hundred twenty-one billion, six million, eight hundred eighty-three thousand, two hundred forty".