2105615712 has 96 divisors (see below), whose sum is σ = 5616293760. Its totient is φ = 690636800.

The previous prime is 2105615683. The next prime is 2105615719. The reversal of 2105615712 is 2175165012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2105615712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105615719) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3194839 + ... + 3195497.

It is an arithmetic number, because the mean of its divisors is an integer number (58503060).

Almost surely, 2^2105615712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105615712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808146880).

2105615712 is an abundant number, since it is smaller than the sum of its proper divisors (3510678048).

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

2105615712 is a wasteful number, since it uses less digits than its factorization.

2105615712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 2105615712 is about 45886.9884825753. The cubic root of 2105615712 is about 1281.7196353100.

The spelling of 2105615712 in words is "two billion, one hundred five million, six hundred fifteen thousand, seven hundred twelve".