2008906944 has 112 divisors (see below), whose sum is σ = 5880542976. Its totient is φ = 600140800.

The previous prime is 2008906931. The next prime is 2008906973. The reversal of 2008906944 is 4496098002.

It is a junction number, because it is equal to n+sod(n) for n = 2008906896 and 2008906905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143254 + ... + 156650.

It is an arithmetic number, because the mean of its divisors is an integer number (52504848).

Almost surely, 2^2008906944 is an apocalyptic number.

2008906944 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 2008906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940271488).

2008906944 is an abundant number, since it is smaller than the sum of its proper divisors (3871636032).

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

2008906944 is a wasteful number, since it uses less digits than its factorization.

2008906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13494 (or 13484 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2008906944 is about 44820.8315853243. The cubic root of 2008906944 is about 1261.7886212795.

The spelling of 2008906944 in words is "two billion, eight million, nine hundred six thousand, nine hundred forty-four".