2101582089 has 12 divisors (see below), whose sum is σ = 3037019076. Its totient is φ = 1400408352.

The previous prime is 2101582081. The next prime is 2101582097. The reversal of 2101582089 is 9802851012.

It is an interprime number because it is at equal distance from previous prime (2101582081) and next prime (2101582097).

It can be written as a sum of positive squares in 2 ways, for example, as 1805570064 + 296012025 = 42492^2 + 17205^2 .

It is not a de Polignac number, because 2101582089 - 2³ = 2101582081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101582081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32842 + ... + 72675.

It is an arithmetic number, because the mean of its divisors is an integer number (253084923).

Almost surely, 2^2101582089 is an apocalyptic number.

It is an amenable number.

2101582089 is a deficient number, since it is larger than the sum of its proper divisors (935436987).

2101582089 is a wasteful number, since it uses less digits than its factorization.

2101582089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107736 (or 107733 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2101582089 is about 45843.0157057757. The cubic root of 2101582089 is about 1280.9006700107.

The spelling of 2101582089 in words is "two billion, one hundred one million, five hundred eighty-two thousand, eighty-nine".