2509632 has 42 divisors (see below), whose sum is σ = 7195058. Its totient is φ = 836352.

The previous prime is 2509627. The next prime is 2509649. The reversal of 2509632 is 2369052.

2509632 is a `hidden beast` number, since 25 + 0 + 9 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 576 = 1584^2 + 24^2 .

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2509596 and 2509605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1603 + ... + 2754.

2^2509632 is an apocalyptic number.

It is an amenable number.

2509632 is an abundant number, since it is smaller than the sum of its proper divisors (4685426).

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

2509632 is a wasteful number, since it uses less digits than its factorization.

2509632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2509632 is about 1584.1818077481. The cubic root of 2509632 is about 135.8949592609.

The spelling of 2509632 in words is "two million, five hundred nine thousand, six hundred thirty-two".