2221679824 has 80 divisors (see below), whose sum is σ = 5330158848. Its totient is φ = 873547776.

The previous prime is 2221679819. The next prime is 2221679827. The reversal of 2221679824 is 4289761222.

It is a happy number.

It is a super-2 number, since 2×2221679824² = 9871722480737341952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221679827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238584 + ... + 247720.

Almost surely, 2^2221679824 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 2221679824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665079424).

2221679824 is an abundant number, since it is smaller than the sum of its proper divisors (3108479024).

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

2221679824 is a wasteful number, since it uses less digits than its factorization.

2221679824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9326 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 2221679824 is about 47134.6987260977. The cubic root of 2221679824 is about 1304.8497008880.

The spelling of 2221679824 in words is "two billion, two hundred twenty-one million, six hundred seventy-nine thousand, eight hundred twenty-four".