2689152 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 871424.

The previous prime is 2689151. The next prime is 2689163. The reversal of 2689152 is 2519862.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2689151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17974 + ... + 18122.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

2^2689152 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 2689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2689152 is an abundant number, since it is smaller than the sum of its proper divisors (4654848).

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

2689152 is a wasteful number, since it uses less digits than its factorization.

2689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 2689152 is about 1639.8634089460. The cubic root of 2689152 is about 139.0609259680.

The spelling of 2689152 in words is "two million, six hundred eighty-nine thousand, one hundred fifty-two".