2021834000 has 40 divisors (see below), whose sum is σ = 4888799448. Its totient is φ = 808732800.

The previous prime is 2021833999. The next prime is 2021834011. The reversal of 2021834000 is 4381202.

It can be written as a sum of positive squares in 4 ways, for example, as 333281536 + 1688552464 = 18256^2 + 41092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503459 + ... + 507458.

Almost surely, 2^2021834000 is an apocalyptic number.

2021834000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021834000 is an abundant number, since it is smaller than the sum of its proper divisors (2866965448).

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

2021834000 is a wasteful number, since it uses less digits than its factorization.

2021834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010940 (or 1010924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2021834000 is about 44964.8084617293. The cubic root of 2021834000 is about 1264.4893187760.

The spelling of 2021834000 in words is "two billion, twenty-one million, eight hundred thirty-four thousand".