2210212000 has 48 divisors (see below), whose sum is σ = 5430500712. Its totient is φ = 884083200.

The previous prime is 2210211967. The next prime is 2210212033. The reversal of 2210212000 is 2120122.

It is an interprime number because it is at equal distance from previous prime (2210211967) and next prime (2210212033).

It can be written as a sum of positive squares in 4 ways, for example, as 443186704 + 1767025296 = 21052^2 + 42036^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 272277 + ... + 280276.

Almost surely, 2^2210212000 is an apocalyptic number.

2210212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210212000 is an abundant number, since it is smaller than the sum of its proper divisors (3220288712).

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

2210212000 is an equidigital number, since it uses as much as digits as its factorization.

2210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552578 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2210212000 is about 47012.8918489386. The cubic root of 2210212000 is about 1302.6007108465.

Adding to 2210212000 its reverse (2120122), we get a palindrome (2212332122).

The spelling of 2210212000 in words is "two billion, two hundred ten million, two hundred twelve thousand".