2220000001000 has 192 divisors, whose sum is σ = 5342281186320. Its totient is φ = 863458713600.

The previous prime is 2220000000997. The next prime is 2220000001003. The reversal of 2220000001000 is 1000000222.

It is a happy number.

2220000001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2220000000997) and next prime (2220000001003).

It can be written as a sum of positive squares in 8 ways, for example, as 16930693924 + 2203069307076 = 130118^2 + 1484274^2 .

It is not an unprimeable number, because it can be changed into a prime (2220000001003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430814424 + ... + 430819576.

Almost surely, 2^{2220000001000} is an apocalyptic number.

2220000001000 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 2220000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671140593160).

2220000001000 is an abundant number, since it is smaller than the sum of its proper divisors (3122281185320).

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

2220000001000 is a wasteful number, since it uses less digits than its factorization.

2220000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2220000001000 its reverse (1000000222), we get a palindrome (2221000001222).

The spelling of 2220000001000 in words is "two trillion, two hundred twenty billion, one thousand".