2167261509 has 32 divisors (see below), whose sum is σ = 3381866496. Its totient is φ = 1208813760.

The previous prime is 2167261493. The next prime is 2167261561. The reversal of 2167261509 is 9051627612.

It is not a de Polignac number, because 2167261509 - 2⁴ = 2167261493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167261409) 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, 389074 + ... + 394604.

It is an arithmetic number, because the mean of its divisors is an integer number (105683328).

Almost surely, 2^2167261509 is an apocalyptic number.

It is an amenable number.

2167261509 is a deficient number, since it is larger than the sum of its proper divisors (1214604987).

2167261509 is a wasteful number, since it uses less digits than its factorization.

2167261509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2167261509 is about 46553.8560057059. The cubic root of 2167261509 is about 1294.1077536805.

The spelling of 2167261509 in words is "two billion, one hundred sixty-seven million, two hundred sixty-one thousand, five hundred nine".