2106770688 has 288 divisors, whose sum is σ = 6882556800. Its totient is φ = 635627520.

The previous prime is 2106770663. The next prime is 2106770693. The reversal of 2106770688 is 8860776012.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9199758 + ... + 9199986.

Almost surely, 2^2106770688 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 2106770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441278400).

2106770688 is an abundant number, since it is smaller than the sum of its proper divisors (4775786112).

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

2106770688 is an equidigital number, since it uses as much as digits as its factorization.

2106770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2106770688 is about 45899.5717627082. The cubic root of 2106770688 is about 1281.9539428370.

The spelling of 2106770688 in words is "two billion, one hundred six million, seven hundred seventy thousand, six hundred eighty-eight".