2428800841 has 2 divisors, whose sum is σ = 2428800842. Its totient is φ = 2428800840.

The previous prime is 2428800823. The next prime is 2428800883. The reversal of 2428800841 is 1480088242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2411202816 + 17598025 = 49104^2 + 4195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2428800841 - 2¹¹ = 2428798793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2428800841.

It is not a weakly prime, because it can be changed into another prime (2428800821) 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, 1214400420 + 1214400421.

It is an arithmetic number, because the mean of its divisors is an integer number (1214400421).

Almost surely, 2^2428800841 is an apocalyptic number.

It is an amenable number.

2428800841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2428800841 is an equidigital number, since it uses as much as digits as its factorization.

2428800841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 2428800841 is about 49282.8655924146. The cubic root of 2428800841 is about 1344.2002387387.

The spelling of 2428800841 in words is "two billion, four hundred twenty-eight million, eight hundred thousand, eight hundred forty-one".