2821022960 has 80 divisors (see below), whose sum is σ = 7546392000. Its totient is φ = 960688128.

The previous prime is 2821022927. The next prime is 2821022977. The reversal of 2821022960 is 692201282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 66536 + ... + 100344.

It is an arithmetic number, because the mean of its divisors is an integer number (94329900).

Almost surely, 2^2821022960 is an apocalyptic number.

2821022960 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 2821022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773196000).

2821022960 is an abundant number, since it is smaller than the sum of its proper divisors (4725369040).

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

2821022960 is a wasteful number, since it uses less digits than its factorization.

2821022960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33978 (or 33972 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2821022960 is about 53113.3030417051. The cubic root of 2821022960 is about 1412.9784565476.

The spelling of 2821022960 in words is "two billion, eight hundred twenty-one million, twenty-two thousand, nine hundred sixty".