2509967 has 8 divisors (see below), whose sum is σ = 2663520. Its totient is φ = 2360160.

The previous prime is 2509963. The next prime is 2509981. The reversal of 2509967 is 7699052.

2509967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2509967 - 2² = 2509963 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2509967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509961) by changing a digit.

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, 509 + ... + 2297.

It is an arithmetic number, because the mean of its divisors is an integer number (332940).

2^2509967 is an apocalyptic number.

2509967 is a deficient number, since it is larger than the sum of its proper divisors (153553).

2509967 is a wasteful number, since it uses less digits than its factorization.

2509967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 2509967 is about 1584.2875370336. The cubic root of 2509967 is about 135.9010056701.

The spelling of 2509967 in words is "two million, five hundred nine thousand, nine hundred sixty-seven".