2882879434800 has 960 divisors, whose sum is σ = 11085953310720. Its totient is φ = 710042112000.

The previous prime is 2882879434777. The next prime is 2882879434801. The reversal of 2882879434800 is 84349782882.

2882879434800 is a `hidden beast` number, since 2 + 8 + 8 + 287 + 9 + 4 + 348 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2882879434801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 656540605 + ... + 656544995.

It is an arithmetic number, because the mean of its divisors is an integer number (11547868032).

Almost surely, 2^{2882879434800} is an apocalyptic number.

2882879434800 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 2882879434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542976655360).

2882879434800 is an abundant number, since it is smaller than the sum of its proper divisors (8203073875920).

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

2882879434800 is a wasteful number, since it uses less digits than its factorization.

2882879434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 2882879434800 in words is "two trillion, eight hundred eighty-two billion, eight hundred seventy-nine million, four hundred thirty-four thousand, eight hundred".