2209013541 has 108 divisors (see below), whose sum is σ = 4115760012. Its totient is φ = 1134346752.

The previous prime is 2209013537. The next prime is 2209013561. The reversal of 2209013541 is 1453109022.

2209013541 is a `hidden beast` number, since 2 + 20 + 90 + 13 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 896762916 + 1312250625 = 29946^2 + 36225^2 .

It is not a de Polignac number, because 2209013541 - 2² = 2209013537 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209013561) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 3965635 + ... + 3966191.

It is an arithmetic number, because the mean of its divisors is an integer number (38108889).

Almost surely, 2^2209013541 is an apocalyptic number.

2209013541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2209013541 is a deficient number, since it is larger than the sum of its proper divisors (1906746471).

2209013541 is a wasteful number, since it uses less digits than its factorization.

2209013541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2209013541 is about 47000.1440529707. The cubic root of 2209013541 is about 1302.3652287909.

The spelling of 2209013541 in words is "two billion, two hundred nine million, thirteen thousand, five hundred forty-one".