2105689344 has 72 divisors (see below), whose sum is σ = 6113702112. Its totient is φ = 638085120.

The previous prime is 2105689331. The next prime is 2105689349. The reversal of 2105689344 is 4439865012.

It is a super-2 number, since 2×2105689344² = 8867855226870300672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2105689296 and 2105689305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105689349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116179 + ... + 133074.

Almost surely, 2^2105689344 is an apocalyptic number.

2105689344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2105689344 is an abundant number, since it is smaller than the sum of its proper divisors (4008012768).

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

2105689344 is a wasteful number, since it uses less digits than its factorization.

2105689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249283 (or 249269 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2105689344 is about 45887.7907945022. The cubic root of 2105689344 is about 1281.7345754341.

It can be divided in two parts, 210568 and 9344, that added together give a palindrome (219912).

The spelling of 2105689344 in words is "two billion, one hundred five million, six hundred eighty-nine thousand, three hundred forty-four".