2782848 has 32 divisors (see below), whose sum is σ = 7392960. Its totient is φ = 927488.

The previous prime is 2782847. The next prime is 2782859. The reversal of 2782848 is 8482872.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2782848² = 15488485982208, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2782841) 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, 3240 + ... + 4007.

It is an arithmetic number, because the mean of its divisors is an integer number (231030).

2^2782848 is an apocalyptic number.

It is an amenable number.

2782848 is an abundant number, since it is smaller than the sum of its proper divisors (4610112).

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

2782848 is an equidigital number, since it uses as much as digits as its factorization.

2782848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7264 (or 7252 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2782848 is about 1668.1870398729. The cubic root of 2782848 is about 140.6575867198.

The spelling of 2782848 in words is "two million, seven hundred eighty-two thousand, eight hundred forty-eight".