2106177299064 has 64 divisors (see below), whose sum is σ = 6052233636000. Its totient is φ = 677850163200.

The previous prime is 2106177299021. The next prime is 2106177299069. The reversal of 2106177299064 is 4609927716012.

2106177299064 is a `hidden beast` number, since 2 + 10 + 617 + 7 + 2 + 9 + 9 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2106177299064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106177299069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168111337 + ... + 168123864.

Almost surely, 2^{2106177299064} is an apocalyptic number.

2106177299064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2106177299064 is an abundant number, since it is smaller than the sum of its proper divisors (3946056336936).

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

2106177299064 is a wasteful number, since it uses less digits than its factorization.

2106177299064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336235245 (or 336235235 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 2106177299064 in words is "two trillion, one hundred six billion, one hundred seventy-seven million, two hundred ninety-nine thousand, sixty-four".