2509984 has 12 divisors (see below), whose sum is σ = 4941594. Its totient is φ = 1254976.

The previous prime is 2509981. The next prime is 2509993. The reversal of 2509984 is 4899052.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 138384 = 1540^2 + 372^2 .

It is not an unprimeable number, because it can be changed into a prime (2509981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39187 + ... + 39250.

2^2509984 is an apocalyptic number.

It is an amenable number.

2509984 is a deficient number, since it is larger than the sum of its proper divisors (2431610).

2509984 is an equidigital number, since it uses as much as digits as its factorization.

2509984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78447 (or 78439 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 2509984 is about 1584.2929022122. The cubic root of 2509984 is about 135.9013124884.

The spelling of 2509984 in words is "two million, five hundred nine thousand, nine hundred eighty-four".