2011824 has 40 divisors (see below), whose sum is σ = 5775920. Its totient is φ = 670464.

The previous prime is 2011811. The next prime is 2011843. The reversal of 2011824 is 4281102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011797 and 2011806.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1897 + ... + 2760.

It is an arithmetic number, because the mean of its divisors is an integer number (144398).

2^2011824 is an apocalyptic number.

2011824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011824 is an abundant number, since it is smaller than the sum of its proper divisors (3764096).

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

2011824 is a wasteful number, since it uses less digits than its factorization.

2011824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2011824 is about 1418.3878172066. The cubic root of 2011824 is about 126.2399057380.

Adding to 2011824 its reverse (4281102), we get a palindrome (6292926).

It can be divided in two parts, 201 and 1824, that added together give a square (2025 = 45²).

The spelling of 2011824 in words is "two million, eleven thousand, eight hundred twenty-four".