2105675844480 has 320 divisors, whose sum is σ = 8098193426400. Its totient is φ = 518320041984.

The previous prime is 2105675844463. The next prime is 2105675844551. The reversal of 2105675844480 is 844485765012.

2105675844480 is a `hidden beast` number, since 2 + 1 + 0 + 56 + 7 + 584 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2105675844480² (a number of 25 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 888340 + ... + 2236179.

Almost surely, 2^{2105675844480} is an apocalyptic number.

2105675844480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105675844480 is an abundant number, since it is smaller than the sum of its proper divisors (5992517581920).

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

2105675844480 is a wasteful number, since it uses less digits than its factorization.

2105675844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124563 (or 3124542 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 2105675844480 in words is "two trillion, one hundred five billion, six hundred seventy-five million, eight hundred forty-four thousand, four hundred eighty".