2106689629440 has 1152 divisors, whose sum is σ = 7907230679040. Its totient is φ = 472898764800.

The previous prime is 2106689629433. The next prime is 2106689629459. The reversal of 2106689629440 is 449269866012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8814600841 + ... + 8814601079.

It is an arithmetic number, because the mean of its divisors is an integer number (6863915520).

Almost surely, 2^{2106689629440} is an apocalyptic number.

2106689629440 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 2106689629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953615339520).

2106689629440 is an abundant number, since it is smaller than the sum of its proper divisors (5800541049600).

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

2106689629440 is a wasteful number, since it uses less digits than its factorization.

2106689629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 2106689629440 in words is "two trillion, one hundred six billion, six hundred eighty-nine million, six hundred twenty-nine thousand, four hundred forty".