2217621332224 has 81 divisors (see below), whose sum is σ = 4461717463119. Its totient is φ = 1100078184960.

The previous prime is 2217621332191. The next prime is 2217621332249. The reversal of 2217621332224 is 4222331267122.

The square root of 2217621332224 is 1489168.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×2217621332224³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3883749859 + ... + 3883750429.

Almost surely, 2^{2217621332224} is an apocalyptic number.

2217621332224 is the 1489168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217621332224

2217621332224 is an abundant number, since it is smaller than the sum of its proper divisors (2244096130895).

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

2217621332224 is an frugal number, since it uses more digits than its factorization.

2217621332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 736 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

Adding to 2217621332224 its reverse (4222331267122), we get a palindrome (6439952599346).

The spelling of 2217621332224 in words is "two trillion, two hundred seventeen billion, six hundred twenty-one million, three hundred thirty-two thousand, two hundred twenty-four".