2783880883872 has 288 divisors, whose sum is σ = 8910290765376. Its totient is φ = 823976778240.

The previous prime is 2783880883871. The next prime is 2783880883913.

2783880883872 is a `hidden beast` number, since 2 + 78 + 388 + 0 + 88 + 38 + 72 = 666.

2783880883872 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2783880883872.

It is not an unprimeable number, because it can be changed into a prime (2783880883871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16398658 + ... + 16567550.

It is an arithmetic number, because the mean of its divisors is an integer number (30938509602).

Almost surely, 2^{2783880883872} is an apocalyptic number.

2783880883872 is a gapful number since it is divisible by the number (22) 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 2783880883872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455145382688).

2783880883872 is an abundant number, since it is smaller than the sum of its proper divisors (6126409881504).

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

2783880883872 is a wasteful number, since it uses less digits than its factorization.

2783880883872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168985 (or 168952 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 2783880883872 in words is "two trillion, seven hundred eighty-three billion, eight hundred eighty million, eight hundred eighty-three thousand, eight hundred seventy-two".