2221441344 has 84 divisors (see below), whose sum is σ = 6400009044. Its totient is φ = 736684032.

The previous prime is 2221441333. The next prime is 2221441351. The reversal of 2221441344 is 4431441222.

It can be written as a sum of positive squares in 2 ways, for example, as 2145542400 + 75898944 = 46320^2 + 8712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103684 + ... + 123260.

Almost surely, 2^2221441344 is an apocalyptic number.

2221441344 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 2221441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200004522).

2221441344 is an abundant number, since it is smaller than the sum of its proper divisors (4178567700).

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

2221441344 is a wasteful number, since it uses less digits than its factorization.

2221441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19792 (or 19779 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2221441344 is about 47132.1688870775. The cubic root of 2221441344 is about 1304.8030107381.

Adding to 2221441344 its reverse (4431441222), we get a palindrome (6652882566).

The spelling of 2221441344 in words is "two billion, two hundred twenty-one million, four hundred forty-one thousand, three hundred forty-four".