2013504480 has 960 divisors, whose sum is σ = 8759741760. Its totient is φ = 429981696.

The previous prime is 2013504439. The next prime is 2013504509. The reversal of 2013504480 is 844053102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 54419022 + ... + 54419058.

It is an arithmetic number, because the mean of its divisors is an integer number (9124731).

Almost surely, 2^2013504480 is an apocalyptic number.

2013504480 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 2013504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379870880).

2013504480 is an abundant number, since it is smaller than the sum of its proper divisors (6746237280).

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

2013504480 is a wasteful number, since it uses less digits than its factorization.

2013504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2013504480 is about 44872.0902120683. The cubic root of 2013504480 is about 1262.7504542492.

Adding to 2013504480 its reverse (844053102), we get a palindrome (2857557582).

The spelling of 2013504480 in words is "two billion, thirteen million, five hundred four thousand, four hundred eighty".