2013059940 has 96 divisors (see below), whose sum is σ = 5930064000. Its totient is φ = 509494272.

The previous prime is 2013059933. The next prime is 2013059953. The reversal of 2013059940 is 499503102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92856 + ... + 112464.

It is an arithmetic number, because the mean of its divisors is an integer number (61771500).

Almost surely, 2^2013059940 is an apocalyptic number.

2013059940 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 2013059940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965032000).

2013059940 is an abundant number, since it is smaller than the sum of its proper divisors (3917004060).

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

2013059940 is a wasteful number, since it uses less digits than its factorization.

2013059940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709 (or 19707 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2013059940 is about 44867.1365255239. The cubic root of 2013059940 is about 1262.6575177119.

The spelling of 2013059940 in words is "two billion, thirteen million, fifty-nine thousand, nine hundred forty".