2883120 has 80 divisors (see below), whose sum is σ = 9186912. Its totient is φ = 747520.

The previous prime is 2883113. The next prime is 2883143. The reversal of 2883120 is 213882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 9694 + ... + 9986.

2^2883120 is an apocalyptic number.

2883120 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 2883120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593456).

2883120 is an abundant number, since it is smaller than the sum of its proper divisors (6303792).

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

2883120 is a wasteful number, since it uses less digits than its factorization.

2883120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2883120 is about 1697.9752648375. The cubic root of 2883120 is about 142.3270909856.

It can be divided in two parts, 2883 and 120, that added together give a palindrome (3003).

The spelling of 2883120 in words is "two million, eight hundred eighty-three thousand, one hundred twenty".