2082024 has 128 divisors (see below), whose sum is σ = 7084800. Its totient is φ = 559872.

The previous prime is 2082019. The next prime is 2082037. The reversal of 2082024 is 4202802.

2082024 = 27³ + 28³ + ... + 54³.

It is a super-4 number, since 4×2082024⁴ (a number of 26 digits) contains 4444 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 = 2081988 and 2082006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122464 + ... + 122480.

It is an arithmetic number, because the mean of its divisors is an integer number (55350).

2^2082024 is an apocalyptic number.

2082024 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 2082024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542400).

2082024 is an abundant number, since it is smaller than the sum of its proper divisors (5002776).

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

2082024 is an equidigital number, since it uses as much as digits as its factorization.

2082024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

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

The square root of 2082024 is about 1442.9220353158. The cubic root of 2082024 is about 127.6914770055.

Adding to 2082024 its reverse (4202802), we get a palindrome (6284826).

The spelling of 2082024 in words is "two million, eighty-two thousand, twenty-four".