2778285216 has 96 divisors (see below), whose sum is σ = 8365085568. Its totient is φ = 790917120.

The previous prime is 2778285187. The next prime is 2778285227. The reversal of 2778285216 is 6125828772.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 181476 + ... + 196188.

It is an arithmetic number, because the mean of its divisors is an integer number (87136308).

Almost surely, 2^2778285216 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 2778285216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182542784).

2778285216 is an abundant number, since it is smaller than the sum of its proper divisors (5586800352).

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

2778285216 is a wasteful number, since it uses less digits than its factorization.

2778285216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15014 (or 15006 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 2778285216 is about 52709.4414313034. The cubic root of 2778285216 is about 1405.8067016189.

The spelling of 2778285216 in words is "two billion, seven hundred seventy-eight million, two hundred eighty-five thousand, two hundred sixteen".