2782227616 has 96 divisors (see below), whose sum is σ = 6690055680. Its totient is φ = 1111781376.

The previous prime is 2782227593. The next prime is 2782227631. The reversal of 2782227616 is 6167222872.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411721 + ... + 418423.

It is an arithmetic number, because the mean of its divisors is an integer number (69688080).

Almost surely, 2^2782227616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782227616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345027840).

2782227616 is an abundant number, since it is smaller than the sum of its proper divisors (3907828064).

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

2782227616 is a wasteful number, since it uses less digits than its factorization.

2782227616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6838 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 2782227616 is about 52746.8256485639. The cubic root of 2782227616 is about 1406.4713361543.

The spelling of 2782227616 in words is "two billion, seven hundred eighty-two million, two hundred twenty-seven thousand, six hundred sixteen".