2577989 has 2 divisors, whose sum is σ = 2577990. Its totient is φ = 2577988.

The previous prime is 2577947. The next prime is 2578003. The reversal of 2577989 is 9897752.

2577989 = 926² + 927² + 928².

2577989 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2455489 + 122500 = 1567^2 + 350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2577989 - 2⁸ = 2577733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2577919) 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 as a sum of consecutive naturals, namely, 1288994 + 1288995.

It is an arithmetic number, because the mean of its divisors is an integer number (1288995).

2^2577989 is an apocalyptic number.

It is an amenable number.

2577989 is a deficient number, since it is larger than the sum of its proper divisors (1).

2577989 is an equidigital number, since it uses as much as digits as its factorization.

2577989 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 47.

The square root of 2577989 is about 1605.6117214321. The cubic root of 2577989 is about 137.1177526696.

The spelling of 2577989 in words is "two million, five hundred seventy-seven thousand, nine hundred eighty-nine".