2240100441 has 20 divisors (see below), whose sum is σ = 3347625204. Its totient is φ = 1492819200.

The previous prime is 2240100431. The next prime is 2240100449. The reversal of 2240100441 is 1440010422.

2240100441 is a `hidden beast` number, since 224 + 0 + 1 + 0 + 0 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2153331216 + 86769225 = 46404^2 + 9315^2 .

It is not a de Polignac number, because 2240100441 - 2⁵ = 2240100409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2240100449) 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 19 ways as a sum of consecutive naturals, for example, 340261 + ... + 346781.

Almost surely, 2^2240100441 is an apocalyptic number.

It is an amenable number.

2240100441 is a deficient number, since it is larger than the sum of its proper divisors (1107524763).

2240100441 is an equidigital number, since it uses as much as digits as its factorization.

2240100441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240100441 is about 47329.6993546336. The cubic root of 2240100441 is about 1308.4460802814.

Adding to 2240100441 its reverse (1440010422), we get a palindrome (3680110863).

The spelling of 2240100441 in words is "two billion, two hundred forty million, one hundred thousand, four hundred forty-one".