2013042048 has 64 divisors (see below), whose sum is σ = 5379333120. Its totient is φ = 666974720.

The previous prime is 2013042037. The next prime is 2013042079. The reversal of 2013042048 is 8402403102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48433 + ... + 79823.

It is an arithmetic number, because the mean of its divisors is an integer number (84052080).

Almost surely, 2^2013042048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689666560).

2013042048 is an abundant number, since it is smaller than the sum of its proper divisors (3366291072).

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

2013042048 is a wasteful number, since it uses less digits than its factorization.

2013042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31575 (or 31563 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2013042048 is about 44866.9371363814. The cubic root of 2013042048 is about 1262.6537768835.

The spelling of 2013042048 in words is "two billion, thirteen million, forty-two thousand, forty-eight".