2011008 has 32 divisors (see below), whose sum is σ = 5342760. Its totient is φ = 670208.

The previous prime is 2011003. The next prime is 2011019. The reversal of 2011008 is 8001102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010984 and 2011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2235 + ... + 3002.

2^2011008 is an apocalyptic number.

It is an amenable number.

2011008 is an abundant number, since it is smaller than the sum of its proper divisors (3331752).

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

2011008 is an equidigital number, since it uses as much as digits as its factorization.

2011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2011008 is about 1418.1001375079. The cubic root of 2011008 is about 126.2228357072. Note that the first 3 decimals are identical.

The spelling of 2011008 in words is "two million, eleven thousand, eight".