2152008 has 72 divisors (see below), whose sum is σ = 6199830. Its totient is φ = 699840.

The previous prime is 2152001. The next prime is 2152009. The reversal of 2152008 is 8002512.

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 26244 = 1458^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2152008² = 9262276864128, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2152001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52468 + ... + 52508.

2^2152008 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 2152008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099915).

2152008 is an abundant number, since it is smaller than the sum of its proper divisors (4047822).

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

2152008 is an frugal number, since it uses more digits than its factorization.

2152008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

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

The square root of 2152008 is about 1466.9723923783. The cubic root of 2152008 is about 129.1064562016.

The spelling of 2152008 in words is "two million, one hundred fifty-two thousand, eight".