2013924 has 72 divisors (see below), whose sum is σ = 5511520. Its totient is φ = 570240.

The previous prime is 2013923. The next prime is 2013937. The reversal of 2013924 is 4293102.

It is a self number, because there is not a number n which added to its sum of digits gives 2013924.

It is not an unprimeable number, because it can be changed into a prime (2013923) 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, 27552 + ... + 27624.

2^2013924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755760).

2013924 is an abundant number, since it is smaller than the sum of its proper divisors (3497596).

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

2013924 is a wasteful number, since it uses less digits than its factorization.

2013924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2013924 is about 1419.1279012126. The cubic root of 2013924 is about 126.2838147504.

The spelling of 2013924 in words is "two million, thirteen thousand, nine hundred twenty-four".