2782704805218 has 128 divisors (see below), whose sum is σ = 7062987456000. Its totient is φ = 804503771136.

The previous prime is 2782704805213. The next prime is 2782704805267. The reversal of 2782704805218 is 8125084072872.

2782704805218 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 70 + 48 + 0 + 521 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2782704805213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6953830 + ... + 7343102.

It is an arithmetic number, because the mean of its divisors is an integer number (55179589500).

Almost surely, 2^{2782704805218} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782704805218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531493728000).

2782704805218 is an abundant number, since it is smaller than the sum of its proper divisors (4280282650782).

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

2782704805218 is a wasteful number, since it uses less digits than its factorization.

2782704805218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389913 (or 389907 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 2782704805218 in words is "two trillion, seven hundred eighty-two billion, seven hundred four million, eight hundred five thousand, two hundred eighteen".