2008115344 has 45 divisors (see below), whose sum is σ = 4139333497. Its totient is φ = 943561472.

The previous prime is 2008115341. The next prime is 2008115371. The reversal of 2008115344 is 4435118002.

The square root of 2008115344 is 44812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1563411600 + 444703744 = 39540^2 + 21088^2 .

It is a super-3 number, since 3×2008115344³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2008115341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3046887 + ... + 3047545.

Almost surely, 2^2008115344 is an apocalyptic number.

2008115344 is the 44812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008115344

2008115344 is an abundant number, since it is smaller than the sum of its proper divisors (2131218153).

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

2008115344 is an frugal number, since it uses more digits than its factorization.

2008115344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 2008115344 is about 1261.6228656183.

The spelling of 2008115344 in words is "two billion, eight million, one hundred fifteen thousand, three hundred forty-four".