2789920 has 96 divisors (see below), whose sum is σ = 7838208. Its totient is φ = 918528.

The previous prime is 2789893. The next prime is 2789929. The reversal of 2789920 is 299872.

2789920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2789920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52614 + ... + 52666.

It is an arithmetic number, because the mean of its divisors is an integer number (81648).

2^2789920 is an apocalyptic number.

2789920 is a gapful number since it is divisible by the number (20) 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 2789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

2789920 is an abundant number, since it is smaller than the sum of its proper divisors (5048288).

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

2789920 is a wasteful number, since it uses less digits than its factorization.

2789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 2789920 is about 1670.3053613037. The cubic root of 2789920 is about 140.7766361026.

The spelling of 2789920 in words is "two million, seven hundred eighty-nine thousand, nine hundred twenty".