2779322112 has 576 divisors, whose sum is σ = 10360627200. Its totient is φ = 716636160.

The previous prime is 2779322099. The next prime is 2779322177. The reversal of 2779322112 is 2112239772.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (21168) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25498314 + ... + 25498422.

It is an arithmetic number, because the mean of its divisors is an integer number (17987200).

Almost surely, 2^2779322112 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 2779322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180313600).

2779322112 is an abundant number, since it is smaller than the sum of its proper divisors (7581305088).

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

2779322112 is a wasteful number, since it uses less digits than its factorization.

2779322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 2779322112 is about 52719.2764745496. The cubic root of 2779322112 is about 1405.9815689595.

The spelling of 2779322112 in words is "two billion, seven hundred seventy-nine million, three hundred twenty-two thousand, one hundred twelve".