2106882792 has 192 divisors, whose sum is σ = 7166952000. Its totient is φ = 570229632.

The previous prime is 2106882779. The next prime is 2106882793. The reversal of 2106882792 is 2972886012.

It is not an unprimeable number, because it can be changed into a prime (2106882793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195858 + ... + 206334.

It is an arithmetic number, because the mean of its divisors is an integer number (37327875).

Almost surely, 2^2106882792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106882792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583476000).

2106882792 is an abundant number, since it is smaller than the sum of its proper divisors (5060069208).

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

2106882792 is a wasteful number, since it uses less digits than its factorization.

2106882792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10525 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2106882792 is about 45900.7929343274. The cubic root of 2106882792 is about 1281.9766805775.

The spelling of 2106882792 in words is "two billion, one hundred six million, eight hundred eighty-two thousand, seven hundred ninety-two".