2011705641 has 48 divisors (see below), whose sum is σ = 3241667520. Its totient is φ = 1191888000.

The previous prime is 2011705639. The next prime is 2011705667. The reversal of 2011705641 is 1465071102.

It is a happy number.

2011705641 is a `hidden beast` number, since 2 + 0 + 1 + 17 + 0 + 5 + 641 = 666.

2011705641 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2011705641 - 2¹ = 2011705639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011705681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080051 + ... + 1081911.

It is an arithmetic number, because the mean of its divisors is an integer number (67534740).

Almost surely, 2^2011705641 is an apocalyptic number.

It is an amenable number.

2011705641 is a deficient number, since it is larger than the sum of its proper divisors (1229961879).

2011705641 is a wasteful number, since it uses less digits than its factorization.

2011705641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2011705641 is about 44852.0416592155. The cubic root of 2011705641 is about 1262.3743005396.

Adding to 2011705641 its reverse (1465071102), we get a palindrome (3476776743).

The spelling of 2011705641 in words is "two billion, eleven million, seven hundred five thousand, six hundred forty-one".