2824666490880 has 1536 divisors, whose sum is σ = 11539235635200. Its totient is φ = 650026156032.

The previous prime is 2824666490843. The next prime is 2824666490909. The reversal of 2824666490880 is 880946664282.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3885373077 + ... + 3885373803.

It is an arithmetic number, because the mean of its divisors is an integer number (7512523200).

Almost surely, 2^{2824666490880} is an apocalyptic number.

2824666490880 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 2824666490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769617817600).

2824666490880 is an abundant number, since it is smaller than the sum of its proper divisors (8714569144320).

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

2824666490880 is a wasteful number, since it uses less digits than its factorization.

2824666490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 2824666490880 in words is "two trillion, eight hundred twenty-four billion, six hundred sixty-six million, four hundred ninety thousand, eight hundred eighty".