2106000000 has 560 divisors, whose sum is σ = 8436806070. Its totient is φ = 518400000.

The previous prime is 2105999993. The next prime is 2106000019. The reversal of 2106000000 is 6012.

It can be written as a sum of positive squares in 7 ways, for example, as 1517258304 + 588741696 = 38952^2 + 24264^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 161999994 + ... + 162000006.

Almost surely, 2^2106000000 is an apocalyptic number.

2106000000 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 2106000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218403035).

2106000000 is an abundant number, since it is smaller than the sum of its proper divisors (6330806070).

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

2106000000 is an frugal number, since it uses more digits than its factorization.

2106000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2106000000 is about 45891.1756223351. The cubic root of 2106000000 is about 1281.7976045094.

Adding to 2106000000 its reverse (6012), we get a palindrome (2106006012).

The spelling of 2106000000 in words is "two billion, one hundred six million", and thus it is an aban number.