2821480488288 has 576 divisors, whose sum is σ = 10391079928320. Its totient is φ = 731640729600.

The previous prime is 2821480488263. The next prime is 2821480488341. The reversal of 2821480488288 is 8828840841282.

2821480488288 is a `hidden beast` number, since 2 + 8 + 2 + 148 + 0 + 488 + 2 + 8 + 8 = 666.

2821480488288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395771508 + ... + 395778636.

It is an arithmetic number, because the mean of its divisors is an integer number (18040069320).

Almost surely, 2^{2821480488288} is an apocalyptic number.

2821480488288 is a gapful number since it is divisible by the number (28) 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 2821480488288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195539964160).

2821480488288 is an abundant number, since it is smaller than the sum of its proper divisors (7569599440032).

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

2821480488288 is a wasteful number, since it uses less digits than its factorization.

2821480488288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 63.

The spelling of 2821480488288 in words is "two trillion, eight hundred twenty-one billion, four hundred eighty million, four hundred eighty-eight thousand, two hundred eighty-eight".