2021000 has 64 divisors (see below), whose sum is σ = 4942080. Its totient is φ = 772800.

The previous prime is 2020999. The next prime is 2021003. The reversal of 2021000 is 1202.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021003) 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 15 ways as a sum of consecutive naturals, for example, 42977 + ... + 43023.

It is an arithmetic number, because the mean of its divisors is an integer number (77220).

2^2021000 is an apocalyptic number.

2021000 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 2021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471040).

2021000 is an abundant number, since it is smaller than the sum of its proper divisors (2921080).

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

2021000 is a wasteful number, since it uses less digits than its factorization.

2021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2021000 is about 1421.6187955989. The cubic root of 2021000 is about 126.4315428943.

Adding to 2021000 its reverse (1202), we get a palindrome (2022202).

The spelling of 2021000 in words is "two million, twenty-one thousand".