2779079072 has 96 divisors (see below), whose sum is σ = 7041613824. Its totient is φ = 1047801600.

The previous prime is 2779079071. The next prime is 2779079117. The reversal of 2779079072 is 2709709772.

It is a self number, because there is not a number n which added to its sum of digits gives 2779079072.

It is not an unprimeable number, because it can be changed into a prime (2779079071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58193 + ... + 94575.

It is an arithmetic number, because the mean of its divisors is an integer number (73350144).

Almost surely, 2^2779079072 is an apocalyptic number.

2779079072 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 2779079072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520806912).

2779079072 is an abundant number, since it is smaller than the sum of its proper divisors (4262534752).

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

2779079072 is a wasteful number, since it uses less digits than its factorization.

2779079072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36442 (or 36434 counting only the distinct ones).

The product of its (nonzero) digits is 777924, while the sum is 50.

The square root of 2779079072 is about 52716.9713849345. The cubic root of 2779079072 is about 1405.9405853782.

The spelling of 2779079072 in words is "two billion, seven hundred seventy-nine million, seventy-nine thousand, seventy-two".