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2400002441 is a prime number
BaseRepresentation
bin1000111100001101…
…0010000110001001
320012021000202102022
42033003102012021
514403400034231
61034052214225
7113321453444
oct21703220611
96167022368
102400002441
1110218143a1
1256b90a375
132c32b9ab5
1418aa6065b
15e0a76c7b
hex8f0d2189

2400002441 has 2 divisors, whose sum is σ = 2400002442. Its totient is φ = 2400002440.

The previous prime is 2400002401. The next prime is 2400002443. The reversal of 2400002441 is 1442000042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2379390841 + 20611600 = 48779^2 + 4540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400002441 - 218 = 2399740297 is a prime.

It is a Sophie Germain prime.

Together with 2400002443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2400002443) 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 as a sum of consecutive naturals, namely, 1200001220 + 1200001221.

It is an arithmetic number, because the mean of its divisors is an integer number (1200001221).

Almost surely, 22400002441 is an apocalyptic number.

It is an amenable number.

2400002441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400002441 is an equidigital number, since it uses as much as digits as its factorization.

2400002441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2400002441 is about 48989.8197690092. The cubic root of 2400002441 is about 1338.8663540769.

Adding to 2400002441 its reverse (1442000042), we get a palindrome (3842002483).

The spelling of 2400002441 in words is "two billion, four hundred million, two thousand, four hundred forty-one".