2190100000 has 216 divisors, whose sum is σ = 5956564068. Its totient is φ = 792000000.

The previous prime is 2190099991. The next prime is 2190100013. The reversal of 2190100000 is 10912.

It can be written as a sum of positive squares in 6 ways, for example, as 897841296 + 1292258704 = 29964^2 + 35948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12099910 + ... + 12100090.

Almost surely, 2^2190100000 is an apocalyptic number.

2190100000 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 2190100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978282034).

2190100000 is an abundant number, since it is smaller than the sum of its proper divisors (3766464068).

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

2190100000 is an equidigital number, since it uses as much as digits as its factorization.

2190100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2190100000 is about 46798.5042496018. The cubic root of 2190100000 is about 1298.6376260125.

Adding to 2190100000 its reverse (10912), we get a palindrome (2190110912).

The spelling of 2190100000 in words is "two billion, one hundred ninety million, one hundred thousand".