2005938 has 48 divisors (see below), whose sum is σ = 4915680. Its totient is φ = 605880.

The previous prime is 2005937. The next prime is 2005943. The reversal of 2005938 is 8395002.

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

It is not an unprimeable number, because it can be changed into a prime (2005931) 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 in 23 ways as a sum of consecutive naturals, for example, 6381 + ... + 6687.

It is an arithmetic number, because the mean of its divisors is an integer number (102410).

2^2005938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457840).

2005938 is an abundant number, since it is smaller than the sum of its proper divisors (2909742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005938 is a wasteful number, since it uses less digits than its factorization.

2005938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2005938 is about 1416.3114064357. The cubic root of 2005938 is about 126.1166719775.

The spelling of 2005938 in words is "two million, five thousand, nine hundred thirty-eight".