2575968 has 24 divisors (see below), whose sum is σ = 6762168. Its totient is φ = 858624.

The previous prime is 2575967. The next prime is 2576003. The reversal of 2575968 is 8695752.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2575968² = 13271222274048, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁶ + 5⁶ + 7⁴ + 5⁹ + 9⁶ + 6⁵ + 8² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13321 + ... + 13512.

It is an arithmetic number, because the mean of its divisors is an integer number (281757).

2^2575968 is an apocalyptic number.

It is an amenable number.

2575968 is an abundant number, since it is smaller than the sum of its proper divisors (4186200).

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

2575968 is a wasteful number, since it uses less digits than its factorization.

2575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26846 (or 26838 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 2575968 is about 1604.9822428924. The cubic root of 2575968 is about 137.0819124050.

The spelling of 2575968 in words is "two million, five hundred seventy-five thousand, nine hundred sixty-eight".