2507968 has 28 divisors (see below), whose sum is σ = 5029200. Its totient is φ = 1240832.

The previous prime is 2507963. The next prime is 2508001. The reversal of 2507968 is 8697052.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2507963) 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 in 3 ways as a sum of consecutive naturals, for example, 9405 + ... + 9667.

2^2507968 is an apocalyptic number.

2507968 is the 847-th centered heptagonal number.

It is an amenable number.

2507968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2507968 is a wasteful number, since it uses less digits than its factorization.

2507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2507968 is about 1583.6565284177. The cubic root of 2507968 is about 135.8649177769.

The spelling of 2507968 in words is "two million, five hundred seven thousand, nine hundred sixty-eight".