2221840000 has 80 divisors (see below), whose sum is σ = 5531330970. Its totient is φ = 888704000.

The previous prime is 2221839943. The next prime is 2221840001. The reversal of 2221840000 is 481222.

It can be written as a sum of positive squares in 5 ways, for example, as 69622336 + 2152217664 = 8344^2 + 46392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2221840000.

It is not an unprimeable number, because it can be changed into a prime (2221840001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 66114 + ... + 93886.

Almost surely, 2^2221840000 is an apocalyptic number.

2221840000 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 2221840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765665485).

2221840000 is an abundant number, since it is smaller than the sum of its proper divisors (3309490970).

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

2221840000 is an frugal number, since it uses more digits than its factorization.

2221840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27807 (or 27780 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2221840000 is about 47136.3978258840. The cubic root of 2221840000 is about 1304.8810586292.

The spelling of 2221840000 in words is "two billion, two hundred twenty-one million, eight hundred forty thousand".