2821860000 has 360 divisors, whose sum is σ = 10231665444. Its totient is φ = 737280000.

The previous prime is 2821859987. The next prime is 2821860001. The reversal of 2821860000 is 681282.

It can be written as a sum of positive squares in 10 ways, for example, as 180311184 + 2641548816 = 13428^2 + 51396^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (2821860001) 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 59 ways as a sum of consecutive naturals, for example, 10979872 + ... + 10980128.

Almost surely, 2^2821860000 is an apocalyptic number.

2821860000 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 2821860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115832722).

2821860000 is an abundant number, since it is smaller than the sum of its proper divisors (7409805444).

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

2821860000 is a wasteful number, since it uses less digits than its factorization.

2821860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2821860000 is about 53121.1822157602. The cubic root of 2821860000 is about 1413.1181933909.

The spelling of 2821860000 in words is "two billion, eight hundred twenty-one million, eight hundred sixty thousand".