2200001000 has 64 divisors (see below), whose sum is σ = 5218696080. Its totient is φ = 867916800.

The previous prime is 2200000997. The next prime is 2200001003. The reversal of 2200001000 is 1000022.

It is an interprime number because it is at equal distance from previous prime (2200000997) and next prime (2200001003).

It can be written as a sum of positive squares in 8 ways, for example, as 2829124 + 2197171876 = 1682^2 + 46874^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (2200001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57932 + ... + 88068.

Almost surely, 2^2200001000 is an apocalyptic number.

2200001000 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 2200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609348040).

2200001000 is an abundant number, since it is smaller than the sum of its proper divisors (3018695080).

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

2200001000 is a wasteful number, since it uses less digits than its factorization.

2200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30231 (or 30217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2200001000 is about 46904.1682582689. The cubic root of 2200001000 is about 1300.5916439107.

Adding to 2200001000 its reverse (1000022), we get a palindrome (2201001022).

The spelling of 2200001000 in words is "two billion, two hundred million, one thousand".