2008152 has 48 divisors (see below), whose sum is σ = 5645640. Its totient is φ = 668736.

The previous prime is 2008151. The next prime is 2008189. The reversal of 2008152 is 2518002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1428 + ... + 2460.

2^2008152 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 2008152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822820).

2008152 is an abundant number, since it is smaller than the sum of its proper divisors (3637488).

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

2008152 is a wasteful number, since it uses less digits than its factorization.

2008152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2008152 is about 1417.0927986550. The cubic root of 2008152 is about 126.1630542097.

The spelling of 2008152 in words is "two million, eight thousand, one hundred fifty-two".