2013000024 has 64 divisors (see below), whose sum is σ = 5765356800. Its totient is φ = 573750144.

The previous prime is 2013000019. The next prime is 2013000029. The reversal of 2013000024 is 4200003102.

It is an interprime number because it is at equal distance from previous prime (2013000019) and next prime (2013000029).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2012999973 and 2013000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013000029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56094 + ... + 84690.

It is an arithmetic number, because the mean of its divisors is an integer number (90083700).

Almost surely, 2^2013000024 is an apocalyptic number.

2013000024 is a gapful number since it is divisible by the number (24) 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 2013000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882678400).

2013000024 is an abundant number, since it is smaller than the sum of its proper divisors (3752356776).

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

2013000024 is a wasteful number, since it uses less digits than its factorization.

2013000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032 (or 29028 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2013000024 is about 44866.4688158094. The cubic root of 2013000024 is about 1262.6449904912.

Adding to 2013000024 its reverse (4200003102), we get a palindrome (6213003126).

The spelling of 2013000024 in words is "two billion, thirteen million, twenty-four", and thus it is an aban number.