2117221344 has 288 divisors, whose sum is σ = 7349771520. Its totient is φ = 564350976.

The previous prime is 2117221343. The next prime is 2117221411. The reversal of 2117221344 is 4431227112.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117221343) 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 47 ways as a sum of consecutive naturals, for example, 5586147 + ... + 5586525.

It is an arithmetic number, because the mean of its divisors is an integer number (25520040).

Almost surely, 2^2117221344 is an apocalyptic number.

2117221344 is a gapful number since it is divisible by the number (24) 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 2117221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674885760).

2117221344 is an abundant number, since it is smaller than the sum of its proper divisors (5232550176).

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

2117221344 is a wasteful number, since it uses less digits than its factorization.

2117221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2117221344 is about 46013.2735631796. The cubic root of 2117221344 is about 1284.0701624105.

Adding to 2117221344 its reverse (4431227112), we get a palindrome (6548448456).

The spelling of 2117221344 in words is "two billion, one hundred seventeen million, two hundred twenty-one thousand, three hundred forty-four".