2002824 has 24 divisors (see below), whose sum is σ = 5424510. Its totient is φ = 667584.

The previous prime is 2002823. The next prime is 2002829. The reversal of 2002824 is 4282002.

It can be written as a sum of positive squares in only one way, i.e., 1664100 + 338724 = 1290^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2002824² = 8022607949952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002797 and 2002806.

It is not an unprimeable number, because it can be changed into a prime (2002823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13837 + ... + 13980.

2^2002824 is an apocalyptic number.

2002824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2002824 is an abundant number, since it is smaller than the sum of its proper divisors (3421686).

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

2002824 is a wasteful number, since it uses less digits than its factorization.

2002824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27829 (or 27822 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2002824 is about 1415.2116449493. The cubic root of 2002824 is about 126.0513773848.

Adding to 2002824 its reverse (4282002), we get a palindrome (6284826).

The spelling of 2002824 in words is "two million, two thousand, eight hundred twenty-four".