2210282000 has 40 divisors (see below), whose sum is σ = 5344466712. Its totient is φ = 884112000.

The previous prime is 2210281963. The next prime is 2210282003. The reversal of 2210282000 is 2820122.

It can be written as a sum of positive squares in 4 ways, for example, as 14047504 + 2196234496 = 3748^2 + 46864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2210282000.

It is not an unprimeable number, because it can be changed into a prime (2210282003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550571 + ... + 554570.

Almost surely, 2^2210282000 is an apocalyptic number.

2210282000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210282000 is an abundant number, since it is smaller than the sum of its proper divisors (3134184712).

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

2210282000 is a wasteful number, since it uses less digits than its factorization.

2210282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105164 (or 1105148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2210282000 is about 47013.6363196892. The cubic root of 2210282000 is about 1302.6144623308.

The spelling of 2210282000 in words is "two billion, two hundred ten million, two hundred eighty-two thousand".