2781120 has 56 divisors (see below), whose sum is σ = 8833104. Its totient is φ = 741376.

The previous prime is 2781109. The next prime is 2781133. The reversal of 2781120 is 211872.

2781120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489 + ... + 2408.

It is an arithmetic number, because the mean of its divisors is an integer number (157734).

2^2781120 is an apocalyptic number.

2781120 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 2781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416552).

2781120 is an abundant number, since it is smaller than the sum of its proper divisors (6051984).

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

2781120 is a wasteful number, since it uses less digits than its factorization.

2781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2781120 is about 1667.6690319125. The cubic root of 2781120 is about 140.6284670750.

Adding to 2781120 its reverse (211872), we get a palindrome (2992992).

The spelling of 2781120 in words is "two million, seven hundred eighty-one thousand, one hundred twenty".