2011583241 has 20 divisors (see below), whose sum is σ = 3043004800. Its totient is φ = 1324075896.

The previous prime is 2011583239. The next prime is 2011583261. The reversal of 2011583241 is 1423851102.

It is not a de Polignac number, because 2011583241 - 2¹ = 2011583239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011583261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150781 + ... + 163578.

It is an arithmetic number, because the mean of its divisors is an integer number (152150240).

Almost surely, 2^2011583241 is an apocalyptic number.

It is an amenable number.

2011583241 is a deficient number, since it is larger than the sum of its proper divisors (1031421559).

2011583241 is an equidigital number, since it uses as much as digits as its factorization.

2011583241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314450 (or 314441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2011583241 is about 44850.6771520788. The cubic root of 2011583241 is about 1262.3486974319.

The spelling of 2011583241 in words is "two billion, eleven million, five hundred eighty-three thousand, two hundred forty-one".