2782528 has 28 divisors (see below), whose sum is σ = 6311392. Its totient is φ = 1192320.

The previous prime is 2782523. The next prime is 2782567. The reversal of 2782528 is 8252872.

It is a tau number, because it is divible by the number of its divisors (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2782493 and 2782502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782523) 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, 2658 + ... + 3553.

2^2782528 is an apocalyptic number.

2782528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2782528 is an abundant number, since it is smaller than the sum of its proper divisors (3528864).

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

2782528 is an equidigital number, since it uses as much as digits as its factorization.

2782528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6220 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 2782528 is about 1668.0911246092. The cubic root of 2782528 is about 140.6521951026.

The spelling of 2782528 in words is "two million, seven hundred eighty-two thousand, five hundred twenty-eight".