2073821000 has 64 divisors (see below), whose sum is σ = 4971198960. Its totient is φ = 809280000.

The previous prime is 2073820901. The next prime is 2073821017. The reversal of 2073821000 is 1283702.

It can be written as a sum of positive squares in 8 ways, for example, as 111556 + 2073709444 = 334^2 + 45538^2 .

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, 15710 + ... + 66290.

Almost surely, 2^2073821000 is an apocalyptic number.

2073821000 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 2073821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485599480).

2073821000 is an abundant number, since it is smaller than the sum of its proper divisors (2897377960).

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

2073821000 is a wasteful number, since it uses less digits than its factorization.

2073821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50643 (or 50629 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2073821000 is about 45539.2248506713. The cubic root of 2073821000 is about 1275.2355837909.

The spelling of 2073821000 in words is "two billion, seventy-three million, eight hundred twenty-one thousand".