2509888 has 14 divisors (see below), whose sum is σ = 4980686. Its totient is φ = 1254912.

The previous prime is 2509861. The next prime is 2509891. The reversal of 2509888 is 8889052.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1721344 + 788544 = 1312^2 + 888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2509888.

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 as a sum of consecutive naturals, namely, 19545 + ... + 19672.

2^2509888 is an apocalyptic number.

It is an amenable number.

2509888 is a deficient number, since it is larger than the sum of its proper divisors (2470798).

2509888 is an equidigital number, since it uses as much as digits as its factorization.

2509888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39229 (or 39219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 2509888 is about 1584.2626044946. The cubic root of 2509888 is about 135.8995798489.

The spelling of 2509888 in words is "two million, five hundred nine thousand, eight hundred eighty-eight".