2013480 has 192 divisors, whose sum is σ = 8087040. Its totient is φ = 423936.

The previous prime is 2013457. The next prime is 2013491. The reversal of 2013480 is 843102.

It is a happy number.

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

It is a zygodrome in base 13.

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 47 ways as a sum of consecutive naturals, for example, 42817 + ... + 42863.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2^2013480 is an apocalyptic number.

2013480 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 2013480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043520).

2013480 is an abundant number, since it is smaller than the sum of its proper divisors (6073560).

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

2013480 is a wasteful number, since it uses less digits than its factorization.

2013480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013480 is about 1418.9714584867. The cubic root of 2013480 is about 126.2745336761.

Adding to 2013480 its reverse (843102), we get a palindrome (2856582).

The spelling of 2013480 in words is "two million, thirteen thousand, four hundred eighty".