2171106427140 has 72 divisors (see below), whose sum is σ = 7526502285120. Its totient is φ = 496252897344.

The previous prime is 2171106427111. The next prime is 2171106427261. The reversal of 2171106427140 is 417246011712.

2171106427140 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 1 + 0 + 642 + 7 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×2171106427140² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2171106427095 and 2171106427104.

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 23 ways as a sum of consecutive naturals, for example, 861548910 + ... + 861551429.

It is an arithmetic number, because the mean of its divisors is an integer number (104534753960).

Almost surely, 2^{2171106427140} is an apocalyptic number.

2171106427140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2171106427140 is an abundant number, since it is smaller than the sum of its proper divisors (5355395857980).

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

2171106427140 is a wasteful number, since it uses less digits than its factorization.

2171106427140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723100361 (or 1723100356 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 2171106427140 in words is "two trillion, one hundred seventy-one billion, one hundred six million, four hundred twenty-seven thousand, one hundred forty".