2221632 has 168 divisors, whose sum is σ = 7924800. Its totient is φ = 580608.

The previous prime is 2221631. The next prime is 2221633. The reversal of 2221632 is 2361222.

It is an interprime number because it is at equal distance from previous prime (2221631) and next prime (2221633).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2221631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76594 + ... + 76622.

2^2221632 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 2221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962400).

2221632 is an abundant number, since it is smaller than the sum of its proper divisors (5703168).

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

2221632 is a wasteful number, since it uses less digits than its factorization.

2221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2221632 is about 1490.5140053015. The cubic root of 2221632 is about 130.4840338066.

Adding to 2221632 its reverse (2361222), we get a palindrome (4582854).

The spelling of 2221632 in words is "two million, two hundred twenty-one thousand, six hundred thirty-two".