2105612928 has 128 divisors (see below), whose sum is σ = 6580224000. Its totient is φ = 660566016.

The previous prime is 2105612897. The next prime is 2105612939. The reversal of 2105612928 is 8292165012.

2105612928 is a `hidden beast` number, since 2 + 1 + 0 + 561 + 2 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2105612892 and 2105612901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40833 + ... + 76671.

It is an arithmetic number, because the mean of its divisors is an integer number (51408000).

Almost surely, 2^2105612928 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 2105612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112000).

2105612928 is an abundant number, since it is smaller than the sum of its proper divisors (4474611072).

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

2105612928 is a wasteful number, since it uses less digits than its factorization.

2105612928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35879 (or 35861 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2105612928 is about 45886.9581471686. The cubic root of 2105612928 is about 1281.7190704223.

The spelling of 2105612928 in words is "two billion, one hundred five million, six hundred twelve thousand, nine hundred twenty-eight".