2008734 has 48 divisors (see below), whose sum is σ = 4989312. Its totient is φ = 527904.

The previous prime is 2008729. The next prime is 2008739. The reversal of 2008734 is 4378002.

It is an interprime number because it is at equal distance from previous prime (2008729) and next prime (2008739).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6957 + ... + 7239.

It is an arithmetic number, because the mean of its divisors is an integer number (103944).

2^2008734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494656).

2008734 is an abundant number, since it is smaller than the sum of its proper divisors (2980578).

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

2008734 is a wasteful number, since it uses less digits than its factorization.

2008734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2008734 is about 1417.2981337743. The cubic root of 2008734 is about 126.1752411699.

The spelling of 2008734 in words is "two million, eight thousand, seven hundred thirty-four".