2789779872 has 144 divisors (see below), whose sum is σ = 8268263136. Its totient is φ = 822412800.

The previous prime is 2789779847. The next prime is 2789779873.

2789779872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2789779873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426547 + ... + 433037.

It is an arithmetic number, because the mean of its divisors is an integer number (57418494).

Almost surely, 2^2789779872 is an apocalyptic number.

2789779872 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 2789779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134131568).

2789779872 is an abundant number, since it is smaller than the sum of its proper divisors (5478483264).

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

2789779872 is a wasteful number, since it uses less digits than its factorization.

2789779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563 (or 6544 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 66.

The square root of 2789779872 is about 52818.3668054967. The cubic root of 2789779872 is about 1407.7427915586.

The spelling of 2789779872 in words is "two billion, seven hundred eighty-nine million, seven hundred seventy-nine thousand, eight hundred seventy-two".