2821604880 has 240 divisors, whose sum is σ = 9558406080. Its totient is φ = 687633408.

The previous prime is 2821604839. The next prime is 2821604893. The reversal of 2821604880 is 884061282.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2821604880² = 15922908197679628800, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2511999 + ... + 2513121.

It is an arithmetic number, because the mean of its divisors is an integer number (39826692).

Almost surely, 2^2821604880 is an apocalyptic number.

2821604880 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 2821604880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779203040).

2821604880 is an abundant number, since it is smaller than the sum of its proper divisors (6736801200).

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

2821604880 is a wasteful number, since it uses less digits than its factorization.

2821604880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 2821604880 is about 53118.7808595039. The cubic root of 2821604880 is about 1413.0756061637.

The spelling of 2821604880 in words is "two billion, eight hundred twenty-one million, six hundred four thousand, eight hundred eighty".