2165106541 has 48 divisors (see below), whose sum is σ = 2560681984. Its totient is φ = 1817811072.

The previous prime is 2165106521. The next prime is 2165106547. The reversal of 2165106541 is 1456015612.

It is not a de Polignac number, because 2165106541 - 2⁷ = 2165106413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165106547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17048020 + ... + 17048146.

Almost surely, 2^2165106541 is an apocalyptic number.

It is an amenable number.

2165106541 is a deficient number, since it is larger than the sum of its proper divisors (395575443).

2165106541 is a wasteful number, since it uses less digits than its factorization.

2165106541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2165106541 is about 46530.7053567856. The cubic root of 2165106541 is about 1293.6786890736.

The spelling of 2165106541 in words is "two billion, one hundred sixty-five million, one hundred six thousand, five hundred forty-one".