2191905441 has 72 divisors (see below), whose sum is σ = 3630620448. Its totient is φ = 1323135000.

The previous prime is 2191905413. The next prime is 2191905473. The reversal of 2191905441 is 1445091912.

It is a happy number.

2191905441 is a `hidden beast` number, since 21 + 9 + 1 + 90 + 544 + 1 = 666.

It is not a de Polignac number, because 2191905441 - 2¹⁰ = 2191904417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2191905396 and 2191905405.

It is not an unprimeable number, because it can be changed into a prime (2191905491) 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 71 ways as a sum of consecutive naturals, for example, 8732566 + ... + 8732816.

It is an arithmetic number, because the mean of its divisors is an integer number (50425284).

Almost surely, 2^2191905441 is an apocalyptic number.

It is an amenable number.

2191905441 is a deficient number, since it is larger than the sum of its proper divisors (1438715007).

2191905441 is an frugal number, since it uses more digits than its factorization.

2191905441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2191905441 is about 46817.7897919156. The cubic root of 2191905441 is about 1298.9943783125.

The spelling of 2191905441 in words is "two billion, one hundred ninety-one million, nine hundred five thousand, four hundred forty-one".