2013480000 has 840 divisors, whose sum is σ = 8912547072. Its totient is φ = 423936000.

The previous prime is 2013479999. The next prime is 2013480011. The reversal of 2013480000 is 843102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42839977 + ... + 42840023.

Almost surely, 2^2013480000 is an apocalyptic number.

2013480000 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 2013480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456273536).

2013480000 is an abundant number, since it is smaller than the sum of its proper divisors (6899067072).

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

2013480000 is a wasteful number, since it uses less digits than its factorization.

2013480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

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

The square root of 2013480000 is about 44871.8174358918. The cubic root of 2013480000 is about 1262.7453367610.

The spelling of 2013480000 in words is "two billion, thirteen million, four hundred eighty thousand".