2210001000 has 128 divisors (see below), whose sum is σ = 7195219200. Its totient is φ = 563692800.

The previous prime is 2210000993. The next prime is 2210001007. The reversal of 2210001000 is 1000122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2210000993) and next prime (2210001007).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2210001000.

It is not an unprimeable number, because it can be changed into a prime (2210001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52986 + ... + 85014.

It is an arithmetic number, because the mean of its divisors is an integer number (56212650).

Almost surely, 2^2210001000 is an apocalyptic number.

2210001000 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 2210001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597609600).

2210001000 is an abundant number, since it is smaller than the sum of its proper divisors (4985218200).

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

2210001000 is a wasteful number, since it uses less digits than its factorization.

2210001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32076 (or 32062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2210001000 is about 47010.6477300622. The cubic root of 2210001000 is about 1302.5592581869.

Adding to 2210001000 its reverse (1000122), we get a palindrome (2211001122).

The spelling of 2210001000 in words is "two billion, two hundred ten million, one thousand".