2013792 has 48 divisors (see below), whose sum is σ = 5769792. Its totient is φ = 609920.

The previous prime is 2013787. The next prime is 2013821. The reversal of 2013792 is 2973102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 103 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

2^2013792 is an apocalyptic number.

2013792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884896).

2013792 is an abundant number, since it is smaller than the sum of its proper divisors (3756000).

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

2013792 is a wasteful number, since it uses less digits than its factorization.

2013792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2013792 is about 1419.0813930145. The cubic root of 2013792 is about 126.2810556546.

Adding to 2013792 its reverse (2973102), we get a palindrome (4986894).

It can be divided in two parts, 201 and 3792, that added together give a palindrome (3993).

The spelling of 2013792 in words is "two million, thirteen thousand, seven hundred ninety-two".