2013900 has 108 divisors (see below), whose sum is σ = 6827688. Its totient is φ = 456960.

The previous prime is 2013899. The next prime is 2013911. The reversal of 2013900 is 93102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013900.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14632 + ... + 14768.

2^2013900 is an apocalyptic number.

2013900 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 2013900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413844).

2013900 is an abundant number, since it is smaller than the sum of its proper divisors (4813788).

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

2013900 is a wasteful number, since it uses less digits than its factorization.

2013900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2013900 is about 1419.1194452899. The cubic root of 2013900 is about 126.2833131056.

The spelling of 2013900 in words is "two million, thirteen thousand, nine hundred".