2814880 has 48 divisors (see below), whose sum is σ = 6769224. Its totient is φ = 1105920.

The previous prime is 2814863. The next prime is 2814881. The reversal of 2814880 is 884182.

2814880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2572816 + 242064 = 1604^2 + 492^2 .

It is not an unprimeable number, because it can be changed into a prime (2814881) by changing a digit.

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, 11560 + ... + 11800.

2^2814880 is an apocalyptic number.

2814880 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 2814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384612).

2814880 is an abundant number, since it is smaller than the sum of its proper divisors (3954344).

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

2814880 is a wasteful number, since it uses less digits than its factorization.

2814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 2814880 is about 1677.7604119778. The cubic root of 2814880 is about 141.1952093863.

The spelling of 2814880 in words is "two million, eight hundred fourteen thousand, eight hundred eighty".