2106819180 has 384 divisors, whose sum is σ = 7489843200. Its totient is φ = 488374272.

The previous prime is 2106819167. The next prime is 2106819191. The reversal of 2106819180 is 819186012.

2106819180 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8197612 + ... + 8197868.

It is an arithmetic number, because the mean of its divisors is an integer number (19504800).

Almost surely, 2^2106819180 is an apocalyptic number.

2106819180 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 2106819180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744921600).

2106819180 is an abundant number, since it is smaller than the sum of its proper divisors (5383024020).

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

2106819180 is a wasteful number, since it uses less digits than its factorization.

2106819180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 2106819180 is about 45900.0999998911. The cubic root of 2106819180 is about 1281.9637784326.

The spelling of 2106819180 in words is "two billion, one hundred six million, eight hundred nineteen thousand, one hundred eighty".