2024038064 has 60 divisors (see below), whose sum is σ = 4082551200. Its totient is φ = 972061440.

The previous prime is 2024038043. The next prime is 2024038069. The reversal of 2024038064 is 4608304202.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (2024038069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4695929 + ... + 4696359.

It is an arithmetic number, because the mean of its divisors is an integer number (68042520).

Almost surely, 2^2024038064 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 2024038064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041275600).

2024038064 is an abundant number, since it is smaller than the sum of its proper divisors (2058513136).

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

2024038064 is a wasteful number, since it uses less digits than its factorization.

2024038064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2024038064 is about 44989.3105526191. The cubic root of 2024038064 is about 1264.9486382621.

The spelling of 2024038064 in words is "two billion, twenty-four million, thirty-eight thousand, sixty-four".