2609152 has 78 divisors (see below), whose sum is σ = 6536418. Its totient is φ = 1032192.

The previous prime is 2609147. The next prime is 2609171. The reversal of 2609152 is 2519062.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 802816 = 1344^2 + 896^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200698 + ... + 200710.

2^2609152 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 2609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268209).

2609152 is an abundant number, since it is smaller than the sum of its proper divisors (3927266).

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

2609152 is an equidigital number, since it uses as much as digits as its factorization.

2609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 2609152 is about 1615.2869714079. The cubic root of 2609152 is about 137.6680391832.

The spelling of 2609152 in words is "two million, six hundred nine thousand, one hundred fifty-two".