2013484616 has 128 divisors (see below), whose sum is σ = 4632163200. Its totient is φ = 807905280.

The previous prime is 2013484553. The next prime is 2013484657. The reversal of 2013484616 is 6164843102.

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, 4544891 + ... + 4545333.

It is an arithmetic number, because the mean of its divisors is an integer number (36188775).

Almost surely, 2^2013484616 is an apocalyptic number.

2013484616 is a gapful number since it is divisible by the number (26) 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 2013484616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316081600).

2013484616 is an abundant number, since it is smaller than the sum of its proper divisors (2618678584).

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

2013484616 is a wasteful number, since it uses less digits than its factorization.

2013484616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2013484616 is about 44871.8688712650. The cubic root of 2013484616 is about 1262.7463017285.

The spelling of 2013484616 in words is "two billion, thirteen million, four hundred eighty-four thousand, six hundred sixteen".