2029824 has 54 divisors (see below), whose sum is σ = 5859126. Its totient is φ = 675840.

The previous prime is 2029813. The next prime is 2029829. The reversal of 2029824 is 4289202.

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 589824 = 1200^2 + 768^2 .

It is not an unprimeable number, because it can be changed into a prime (2029829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1864 + ... + 2744.

2^2029824 is an apocalyptic number.

2029824 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 2029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929563).

2029824 is an abundant number, since it is smaller than the sum of its proper divisors (3829302).

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

2029824 is an equidigital number, since it uses as much as digits as its factorization.

2029824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2029824 is about 1424.7189196470. The cubic root of 2029824 is about 126.6152823282.

The spelling of 2029824 in words is "two million, twenty-nine thousand, eight hundred twenty-four".