2509072 has 10 divisors (see below), whose sum is σ = 4861358. Its totient is φ = 1254528.

The previous prime is 2509063. The next prime is 2509079. The reversal of 2509072 is 2709052.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 16 = 1584^2 + 4^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2509079) by changing a digit.

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, 78393 + ... + 78424.

2^2509072 is an apocalyptic number.

It is an amenable number.

2509072 is a deficient number, since it is larger than the sum of its proper divisors (2352286).

2509072 is a wasteful number, since it uses less digits than its factorization.

2509072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156825 (or 156819 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2509072 is about 1584.0050504970. The cubic root of 2509072 is about 135.8848506290.

The spelling of 2509072 in words is "two million, five hundred nine thousand, seventy-two".