2509388 has 48 divisors (see below), whose sum is σ = 5376000. Its totient is φ = 1023120.

The previous prime is 2509379. The next prime is 2509411. The reversal of 2509388 is 8839052.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42503 + ... + 42561.

It is an arithmetic number, because the mean of its divisors is an integer number (112000).

2^2509388 is an apocalyptic number.

2509388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688000).

2509388 is an abundant number, since it is smaller than the sum of its proper divisors (2866612).

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

2509388 is a wasteful number, since it uses less digits than its factorization.

2509388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 2509388 is about 1584.1047945133. The cubic root of 2509388 is about 135.8905549704.

The spelling of 2509388 in words is "two million, five hundred nine thousand, three hundred eighty-eight".