2517968 has 20 divisors (see below), whose sum is σ = 4906308. Its totient is φ = 1251840.

The previous prime is 2517959. The next prime is 2518003. The reversal of 2517968 is 8697152.

2517968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1236544 + 1281424 = 1112^2 + 1132^2 .

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 3 ways as a sum of consecutive naturals, for example, 3530 + ... + 4182.

2^2517968 is an apocalyptic number.

It is an amenable number.

2517968 is a deficient number, since it is larger than the sum of its proper divisors (2388340).

2517968 is a wasteful number, since it uses less digits than its factorization.

2517968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 2517968 is about 1586.8106377259. The cubic root of 2517968 is about 136.0452559883.

The spelling of 2517968 in words is "two million, five hundred seventeen thousand, nine hundred sixty-eight".