2210820000 has 120 divisors (see below), whose sum is σ = 7252128576. Its totient is φ = 589536000.

The previous prime is 2210819987. The next prime is 2210820043. The reversal of 2210820000 is 280122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41577 + ... + 78423.

Almost surely, 2^2210820000 is an apocalyptic number.

2210820000 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 2210820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626064288).

2210820000 is an abundant number, since it is smaller than the sum of its proper divisors (5041308576).

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

2210820000 is an equidigital number, since it uses as much as digits as its factorization.

2210820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36880 (or 36857 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2210820000 is about 47019.3577157324. The cubic root of 2210820000 is about 1302.7201426208.

The spelling of 2210820000 in words is "two billion, two hundred ten million, eight hundred twenty thousand".