2438024064 has 128 divisors (see below), whose sum is σ = 7790841600. Its totient is φ = 659902464.

The previous prime is 2438024063. The next prime is 2438024107. The reversal of 2438024064 is 4604208342.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2438024064² = 11887922673286152192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438024063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27204 + ... + 74940.

It is an arithmetic number, because the mean of its divisors is an integer number (60865950).

Almost surely, 2^2438024064 is an apocalyptic number.

2438024064 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 2438024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895420800).

2438024064 is an abundant number, since it is smaller than the sum of its proper divisors (5352817536).

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

2438024064 is a wasteful number, since it uses less digits than its factorization.

2438024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47780 (or 47768 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2438024064 is about 49376.3512625224. The cubic root of 2438024064 is about 1345.8995956124.

The spelling of 2438024064 in words is "two billion, four hundred thirty-eight million, twenty-four thousand, sixty-four".