2609424 has 30 divisors (see below), whose sum is σ = 7303166. Its totient is φ = 869760.

The previous prime is 2609423. The next prime is 2609443. The reversal of 2609424 is 4249062.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 535824 = 1440^2 + 732^2 .

It is a super-2 number, since 2×2609424² = 13618187223552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2609423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8917 + ... + 9204.

2^2609424 is an apocalyptic number.

2609424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2609424 is an abundant number, since it is smaller than the sum of its proper divisors (4693742).

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

2609424 is a wasteful number, since it uses less digits than its factorization.

2609424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18135 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2609424 is about 1615.3711647792. The cubic root of 2609424 is about 137.6728229093.

The spelling of 2609424 in words is "two million, six hundred nine thousand, four hundred twenty-four".