217000218240 has 1920 divisors, whose sum is σ = 936680785920. Its totient is φ = 47616491520.

The previous prime is 217000218233. The next prime is 217000218269. The reversal of 217000218240 is 42812000712.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4617025897 + ... + 4617025943.

It is an arithmetic number, because the mean of its divisors is an integer number (487854576).

Almost surely, 2^217000218240 is an apocalyptic number.

217000218240 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 217000218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468340392960).

217000218240 is an abundant number, since it is smaller than the sum of its proper divisors (719680567680).

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

217000218240 is a wasteful number, since it uses less digits than its factorization.

217000218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 217000218240 its reverse (42812000712), we get a palindrome (259812218952).

The spelling of 217000218240 in words is "two hundred seventeen billion, two hundred eighteen thousand, two hundred forty".