2013920 has 48 divisors (see below), whose sum is σ = 4889808. Its totient is φ = 783360.

The previous prime is 2013911. The next prime is 2013923. The reversal of 2013920 is 293102.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6407 + ... + 6713.

It is an arithmetic number, because the mean of its divisors is an integer number (101871).

2^2013920 is an apocalyptic number.

2013920 is a gapful number since it is divisible by the number (20) 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 2013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444904).

2013920 is an abundant number, since it is smaller than the sum of its proper divisors (2875888).

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

2013920 is a wasteful number, since it uses less digits than its factorization.

2013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2013920 is about 1419.1264918956. The cubic root of 2013920 is about 126.2837311432.

The spelling of 2013920 in words is "two million, thirteen thousand, nine hundred twenty".