2106681696 has 504 divisors, whose sum is σ = 7692927480. Its totient is φ = 564350976.

The previous prime is 2106681679. The next prime is 2106681727. The reversal of 2106681696 is 6961866012.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×2106681696³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21718320 + ... + 21718416.

It is an arithmetic number, because the mean of its divisors is an integer number (15263745).

Almost surely, 2^2106681696 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 2106681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846463740).

2106681696 is an abundant number, since it is smaller than the sum of its proper divisors (5586245784).

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

2106681696 is an equidigital number, since it uses as much as digits as its factorization.

2106681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2106681696 is about 45898.6023316615. The cubic root of 2106681696 is about 1281.9358922644.

The spelling of 2106681696 in words is "two billion, one hundred six million, six hundred eighty-one thousand, six hundred ninety-six".