2821182866880 has 224 divisors, whose sum is σ = 10240479814656. Its totient is φ = 644614004736.

The previous prime is 2821182866759. The next prime is 2821182866903. The reversal of 2821182866880 is 886682811282.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19327932 + ... + 19473348.

It is an arithmetic number, because the mean of its divisors is an integer number (45716427744).

Almost surely, 2^{2821182866880} is an apocalyptic number.

2821182866880 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 2821182866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120239907328).

2821182866880 is an abundant number, since it is smaller than the sum of its proper divisors (7419296947776).

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

2821182866880 is a wasteful number, since it uses less digits than its factorization.

2821182866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148331 (or 148321 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 60.

The spelling of 2821182866880 in words is "two trillion, eight hundred twenty-one billion, one hundred eighty-two million, eight hundred sixty-six thousand, eight hundred eighty".