217829982240 has 672 divisors, whose sum is σ = 840067680816. Its totient is φ = 53031075840.

The previous prime is 217829982221. The next prime is 217829982257. The reversal of 217829982240 is 42289928712.

It can be written as a sum of positive squares in 8 ways, for example, as 42506893584 + 175323088656 = 206172^2 + 418716^2 .

It is a super-3 number, since 3×217829982240³ (a number of 35 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 147082300 + ... + 147083780.

Almost surely, 2^217829982240 is an apocalyptic number.

217829982240 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 217829982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420033840408).

217829982240 is an abundant number, since it is smaller than the sum of its proper divisors (622237698576).

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

217829982240 is a wasteful number, since it uses less digits than its factorization.

217829982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 217829982240 in words is "two hundred seventeen billion, eight hundred twenty-nine million, nine hundred eighty-two thousand, two hundred forty".