2582048 has 24 divisors (see below), whose sum is σ = 5810112. Its totient is φ = 1106496.

The previous prime is 2582033. The next prime is 2582053. The reversal of 2582048 is 8402852.

It is a self number, because there is not a number n which added to its sum of digits gives 2582048.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5540 + ... + 5987.

It is an arithmetic number, because the mean of its divisors is an integer number (242088).

2^2582048 is an apocalyptic number.

2582048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2582048 is an abundant number, since it is smaller than the sum of its proper divisors (3228064).

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

2582048 is a wasteful number, since it uses less digits than its factorization.

2582048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2582048 is about 1606.8752285103. The cubic root of 2582048 is about 137.1896781271.

The spelling of 2582048 in words is "two million, five hundred eighty-two thousand, forty-eight".