2210002000 has 80 divisors (see below), whose sum is σ = 5417345232. Its totient is φ = 871833600.

The previous prime is 2210001991. The next prime is 2210002007. The reversal of 2210002000 is 2000122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 543076416 + 1666925584 = 23304^2 + 40828^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210002007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138432 + ... + 153568.

Almost surely, 2^2210002000 is an apocalyptic number.

2210002000 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 2210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708672616).

2210002000 is an abundant number, since it is smaller than the sum of its proper divisors (3207343232).

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

2210002000 is a wasteful number, since it uses less digits than its factorization.

2210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15233 (or 15217 counting only the distinct ones).

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

The square root of 2210002000 is about 47010.6583659493. The cubic root of 2210002000 is about 1302.5594546513.

Adding to 2210002000 its reverse (2000122), we get a palindrome (2212002122).

The spelling of 2210002000 in words is "two billion, two hundred ten million, two thousand".