2842880 has 36 divisors (see below), whose sum is σ = 6812652. Its totient is φ = 1136640.

The previous prime is 2842871. The next prime is 2842891. The reversal of 2842880 is 882482.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 1364224 = 1216^2 + 1168^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 170 + ... + 2390.

2^2842880 is an apocalyptic number.

2842880 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 2842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406326).

2842880 is an abundant number, since it is smaller than the sum of its proper divisors (3969772).

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

2842880 is an equidigital number, since it uses as much as digits as its factorization.

2842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 2842880 is about 1686.0842209095. The cubic root of 2842880 is about 141.6618283622.

The spelling of 2842880 in words is "two million, eight hundred forty-two thousand, eight hundred eighty".