2577984 has 56 divisors (see below), whose sum is σ = 7071360. Its totient is φ = 827904.

The previous prime is 2577947. The next prime is 2577989. The reversal of 2577984 is 4897752.

It is not an unprimeable number, because it can be changed into a prime (2577989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5337 + ... + 5799.

2^2577984 is an apocalyptic number.

2577984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535680).

2577984 is an abundant number, since it is smaller than the sum of its proper divisors (4493376).

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

2577984 is a wasteful number, since it uses less digits than its factorization.

2577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 2577984 is about 1605.6101643923. The cubic root of 2577984 is about 137.1176640231.

The spelling of 2577984 in words is "two million, five hundred seventy-seven thousand, nine hundred eighty-four".