2008992 has 48 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 629760.

The previous prime is 2008973. The next prime is 2009011. The reversal of 2008992 is 2998002.

2008992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2008973) and next prime (2009011).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 2247.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

2^2008992 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 2008992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2008992 is an abundant number, since it is smaller than the sum of its proper divisors (3579360).

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

2008992 is a wasteful number, since it uses less digits than its factorization.

2008992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2008992 is about 1417.3891491048. The cubic root of 2008992 is about 126.1806428837.

The spelling of 2008992 in words is "two million, eight thousand, nine hundred ninety-two".