2217171933312 has 768 divisors, whose sum is σ = 7407087897600. Its totient is φ = 573821853696.

The previous prime is 2217171933311. The next prime is 2217171933359. The reversal of 2217171933312 is 2133391717122.

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

It is not an unprimeable number, because it can be changed into a prime (2217171933311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5004902563 + ... + 5004903005.

It is an arithmetic number, because the mean of its divisors is an integer number (9644645700).

Almost surely, 2^{2217171933312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217171933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703543948800).

2217171933312 is an abundant number, since it is smaller than the sum of its proper divisors (5189915964288).

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

2217171933312 is a wasteful number, since it uses less digits than its factorization.

2217171933312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 570 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The spelling of 2217171933312 in words is "two trillion, two hundred seventeen billion, one hundred seventy-one million, nine hundred thirty-three thousand, three hundred twelve".