2821820832 has 72 divisors (see below), whose sum is σ = 8029931364. Its totient is φ = 939976704.

The previous prime is 2821820801. The next prime is 2821820839. The reversal of 2821820832 is 2380281282.

It can be written as a sum of positive squares in 2 ways, for example, as 2678683536 + 143137296 = 51756^2 + 11964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2821820839) 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 11 ways as a sum of consecutive naturals, for example, 658248 + ... + 662520.

Almost surely, 2^2821820832 is an apocalyptic number.

It is an amenable number.

2821820832 is an abundant number, since it is smaller than the sum of its proper divisors (5208110532).

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

2821820832 is a wasteful number, since it uses less digits than its factorization.

2821820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2821820832 is about 53120.8135479870. The cubic root of 2821820832 is about 1413.1116552365. Note that the first 3 decimals are identical.

The spelling of 2821820832 in words is "two billion, eight hundred twenty-one million, eight hundred twenty thousand, eight hundred thirty-two".