2105955072 has 288 divisors, whose sum is σ = 7005196800. Its totient is φ = 619204608.

The previous prime is 2105955067. The next prime is 2105955073. The reversal of 2105955072 is 2705595012.

2105955072 is a `hidden beast` number, since 2 + 10 + 595 + 50 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2105955073) 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 31 ways as a sum of consecutive naturals, for example, 2066179 + ... + 2067197.

It is an arithmetic number, because the mean of its divisors is an integer number (24323600).

Almost surely, 2^2105955072 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 2105955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502598400).

2105955072 is an abundant number, since it is smaller than the sum of its proper divisors (4899241728).

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

2105955072 is a wasteful number, since it uses less digits than its factorization.

2105955072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 2105955072 is about 45890.6861138510. The cubic root of 2105955072 is about 1281.7884894394.

The spelling of 2105955072 in words is "two billion, one hundred five million, nine hundred fifty-five thousand, seventy-two".