2101971765 has 32 divisors (see below), whose sum is σ = 3482640000. Its totient is φ = 1081301760.

The previous prime is 2101971731. The next prime is 2101971797. The reversal of 2101971765 is 5671791012.

It is not a de Polignac number, because 2101971765 - 2¹⁴ = 2101955381 is a prime.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 598986 + ... + 602484.

It is an arithmetic number, because the mean of its divisors is an integer number (108832500).

Almost surely, 2^2101971765 is an apocalyptic number.

It is an amenable number.

2101971765 is a deficient number, since it is larger than the sum of its proper divisors (1380668235).

2101971765 is a wasteful number, since it uses less digits than its factorization.

2101971765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917.

The product of its (nonzero) digits is 26460, while the sum is 39.

The square root of 2101971765 is about 45847.2656218449. The cubic root of 2101971765 is about 1280.9798334507.

The spelling of 2101971765 in words is "two billion, one hundred one million, nine hundred seventy-one thousand, seven hundred sixty-five".