2509948 has 24 divisors (see below), whose sum is σ = 5316192. Its totient is φ = 1012224.

The previous prime is 2509937. The next prime is 2509961. The reversal of 2509948 is 8499052.

2509948 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2161 + ... + 3112.

It is an arithmetic number, because the mean of its divisors is an integer number (221508).

2^2509948 is an apocalyptic number.

2509948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2509948 is an abundant number, since it is smaller than the sum of its proper divisors (2806244).

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

2509948 is a wasteful number, since it uses less digits than its factorization.

2509948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5299 counting only the distinct ones).

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

The square root of 2509948 is about 1584.2815406360. The cubic root of 2509948 is about 135.9006627538.

The spelling of 2509948 in words is "two million, five hundred nine thousand, nine hundred forty-eight".