2826504 has 48 divisors (see below), whose sum is σ = 7869420. Its totient is φ = 915840.

The previous prime is 2826491. The next prime is 2826521. The reversal of 2826504 is 4056282.

2826504 is a `hidden beast` number, since 2 + 8 + 2 + 650 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2566404 + 260100 = 1602^2 + 510^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2134 + ... + 3194.

2^2826504 is an apocalyptic number.

2826504 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 2826504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934710).

2826504 is an abundant number, since it is smaller than the sum of its proper divisors (5042916).

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

2826504 is a wasteful number, since it uses less digits than its factorization.

2826504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2826504 is about 1681.2209848797. The cubic root of 2826504 is about 141.3892968911.

It can be divided in two parts, 282 and 6504, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 2826504 in words is "two million, eight hundred twenty-six thousand, five hundred four".