2165436441 has 48 divisors (see below), whose sum is σ = 3850429440. Its totient is φ = 1144977120.

The previous prime is 2165436379. The next prime is 2165436457. The reversal of 2165436441 is 1446345612.

2165436441 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 4 + 3 + 644 + 1 = 666.

It is not a de Polignac number, because 2165436441 - 2¹⁴ = 2165420057 is a prime.

It is a super-2 number, since 2×2165436441² = 9378229960021492962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2165436396 and 2165436405.

It is not an unprimeable number, because it can be changed into a prime (2165236441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30436 + ... + 72506.

It is an arithmetic number, because the mean of its divisors is an integer number (80217280).

Almost surely, 2^2165436441 is an apocalyptic number.

2165436441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2165436441 is a deficient number, since it is larger than the sum of its proper divisors (1684992999).

2165436441 is a wasteful number, since it uses less digits than its factorization.

2165436441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42146 (or 42143 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2165436441 is about 46534.2501927344. The cubic root of 2165436441 is about 1293.7443922182.

The spelling of 2165436441 in words is "two billion, one hundred sixty-five million, four hundred thirty-six thousand, four hundred forty-one".