2221960000 has 140 divisors (see below), whose sum is σ = 5934953332. Its totient is φ = 820224000.

The previous prime is 2221959989. The next prime is 2221960003. The reversal of 2221960000 is 691222.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2144801344 + 77158656 = 46312^2 + 8784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221960003) 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 19 ways as a sum of consecutive naturals, for example, 517864 + ... + 522136.

Almost surely, 2^2221960000 is an apocalyptic number.

2221960000 is a gapful number since it is divisible by the number (20) 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 2221960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967476666).

2221960000 is an abundant number, since it is smaller than the sum of its proper divisors (3712993332).

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

2221960000 is an equidigital number, since it uses as much as digits as its factorization.

2221960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2221960000 is about 47137.6707103777. The cubic root of 2221960000 is about 1304.9045501059.

The spelling of 2221960000 in words is "two billion, two hundred twenty-one million, nine hundred sixty thousand".