2106689810940 has 576 divisors, whose sum is σ = 7660253712384. Its totient is φ = 461894400000.

The previous prime is 2106689810893. The next prime is 2106689810941. The reversal of 2106689810940 is 490189866012.

It is a super-3 number, since 3×2106689810940³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106689810941) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 425505465 + ... + 425510415.

It is an arithmetic number, because the mean of its divisors is an integer number (13299051584).

Almost surely, 2^{2106689810940} is an apocalyptic number.

2106689810940 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 2106689810940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830126856192).

2106689810940 is an abundant number, since it is smaller than the sum of its proper divisors (5553563901444).

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

2106689810940 is a wasteful number, since it uses less digits than its factorization.

2106689810940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2106689810940 in words is "two trillion, one hundred six billion, six hundred eighty-nine million, eight hundred ten thousand, nine hundred forty".