2013663024 has 160 divisors (see below), whose sum is σ = 6071040000. Its totient is φ = 638136576.

The previous prime is 2013663023. The next prime is 2013663031. The reversal of 2013663024 is 4203663102.

2013663024 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 6 + 630 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2013663023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838177 + ... + 840575.

It is an arithmetic number, because the mean of its divisors is an integer number (37944000).

Almost surely, 2^2013663024 is an apocalyptic number.

2013663024 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 2013663024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520000).

2013663024 is an abundant number, since it is smaller than the sum of its proper divisors (4057376976).

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

2013663024 is a wasteful number, since it uses less digits than its factorization.

2013663024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2013663024 is about 44873.8567988088. The cubic root of 2013663024 is about 1262.7835965070.

The spelling of 2013663024 in words is "two billion, thirteen million, six hundred sixty-three thousand, twenty-four".