2021444000 has 96 divisors (see below), whose sum is σ = 5014166976. Its totient is φ = 800851200.

The previous prime is 2021443969. The next prime is 2021444023. The reversal of 2021444000 is 4441202.

It is a self number, because there is not a number n which added to its sum of digits gives 2021444000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425639 + ... + 430361.

It is an arithmetic number, because the mean of its divisors is an integer number (52230906).

Almost surely, 2^2021444000 is an apocalyptic number.

2021444000 is a gapful number since it is divisible by the number (20) 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 2021444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507083488).

2021444000 is an abundant number, since it is smaller than the sum of its proper divisors (2992722976).

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

2021444000 is a wasteful number, since it uses less digits than its factorization.

2021444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2021444000 is about 44960.4715277765. The cubic root of 2021444000 is about 1264.4080093401.

Adding to 2021444000 its reverse (4441202), we get a palindrome (2025885202).

The spelling of 2021444000 in words is "two billion, twenty-one million, four hundred forty-four thousand".