2005761641 has 8 divisors (see below), whose sum is σ = 2160462024. Its totient is φ = 1851120000.

The previous prime is 2005761629. The next prime is 2005761661. The reversal of 2005761641 is 1461675002.

It can be written as a sum of positive squares in 4 ways, for example, as 107329600 + 1898432041 = 10360^2 + 43571^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005761641 - 2⁶ = 2005761577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2005761598 and 2005761607.

It is not an unprimeable number, because it can be changed into a prime (2005761661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77891 + ... + 100391.

It is an arithmetic number, because the mean of its divisors is an integer number (270057753).

Almost surely, 2^2005761641 is an apocalyptic number.

It is an amenable number.

2005761641 is a deficient number, since it is larger than the sum of its proper divisors (154700383).

2005761641 is a wasteful number, since it uses less digits than its factorization.

2005761641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29371.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2005761641 is about 44785.7303278622. The cubic root of 2005761641 is about 1261.1297587421.

The spelling of 2005761641 in words is "two billion, five million, seven hundred sixty-one thousand, six hundred forty-one".