2577968 has 10 divisors (see below), whose sum is σ = 4994844. Its totient is φ = 1288976.

The previous prime is 2577947. The next prime is 2577989. The reversal of 2577968 is 8697752.

It is an interprime number because it is at equal distance from previous prime (2577947) and next prime (2577989).

It is a d-powerful number, because it can be written as 2⁶ + 5⁶ + 7 + 7⁷ + 9⁵ + 6⁸ + 8² .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 80546 + ... + 80577.

2^2577968 is an apocalyptic number.

It is an amenable number.

2577968 is a deficient number, since it is larger than the sum of its proper divisors (2416876).

2577968 is a wasteful number, since it uses less digits than its factorization.

2577968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161131 (or 161125 counting only the distinct ones).

The product of its digits is 211680, while the sum is 44.

The square root of 2577968 is about 1605.6051818551. The cubic root of 2577968 is about 137.1173803535.

The spelling of 2577968 in words is "two million, five hundred seventy-seven thousand, nine hundred sixty-eight".