2221191648 has 144 divisors (see below), whose sum is σ = 6824563200. Its totient is φ = 681219072.

The previous prime is 2221191647. The next prime is 2221191649. The reversal of 2221191648 is 8461911222.

2221191648 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 1 + 9 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (2221191647) and next prime (2221191649).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2221191647) 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, 1433178 + ... + 1434726.

It is an arithmetic number, because the mean of its divisors is an integer number (47392800).

Almost surely, 2^2221191648 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 2221191648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412281600).

2221191648 is an abundant number, since it is smaller than the sum of its proper divisors (4603371552).

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

2221191648 is a wasteful number, since it uses less digits than its factorization.

2221191648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1950 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2221191648 is about 47129.5199211704. The cubic root of 2221191648 is about 1304.7541211135.

The spelling of 2221191648 in words is "two billion, two hundred twenty-one million, one hundred ninety-one thousand, six hundred forty-eight".