2021005824 has 160 divisors (see below), whose sum is σ = 5671512000. Its totient is φ = 638582784.

The previous prime is 2021005817. The next prime is 2021005829. The reversal of 2021005824 is 4285001202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2021005794 and 2021005803.

It is not an unprimeable number, because it can be changed into a prime (2021005829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2627712 + ... + 2628480.

It is an arithmetic number, because the mean of its divisors is an integer number (35446950).

Almost surely, 2^2021005824 is an apocalyptic number.

2021005824 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 2021005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835756000).

2021005824 is an abundant number, since it is smaller than the sum of its proper divisors (3650506176).

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

2021005824 is an equidigital number, since it uses as much as digits as its factorization.

2021005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2021005824 is about 44955.5983610495. The cubic root of 2021005824 is about 1264.3166434188.

The spelling of 2021005824 in words is "two billion, twenty-one million, five thousand, eight hundred twenty-four".