2005724641 has 2 divisors, whose sum is σ = 2005724642. Its totient is φ = 2005724640.

The previous prime is 2005724629. The next prime is 2005724687. The reversal of 2005724641 is 1464275002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1086361600 + 919363041 = 32960^2 + 30321^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005724641 - 2²¹ = 2003627489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005724041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002862320 + 1002862321.

It is an arithmetic number, because the mean of its divisors is an integer number (1002862321).

Almost surely, 2^2005724641 is an apocalyptic number.

It is an amenable number.

2005724641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005724641 is an equidigital number, since it uses as much as digits as its factorization.

2005724641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 2005724641 is about 44785.3172479553. The cubic root of 2005724641 is about 1261.1220040672.

Adding to 2005724641 its reverse (1464275002), we get a palindrome (3469999643).

The spelling of 2005724641 in words is "two billion, five million, seven hundred twenty-four thousand, six hundred forty-one".