2178080 has 24 divisors (see below), whose sum is σ = 5146092. Its totient is φ = 871168.

The previous prime is 2178073. The next prime is 2178083. The reversal of 2178080 is 808712.

It can be written as a sum of positive squares in 2 ways, for example, as 1752976 + 425104 = 1324^2 + 652^2 .

It is not an unprimeable number, because it can be changed into a prime (2178083) 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 3 ways as a sum of consecutive naturals, for example, 6647 + ... + 6966.

2^2178080 is an apocalyptic number.

2178080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2178080 is an abundant number, since it is smaller than the sum of its proper divisors (2968012).

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

2178080 is a wasteful number, since it uses less digits than its factorization.

2178080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 2178080 is about 1475.8319687553. The cubic root of 2178080 is about 129.6257480722.

It can be divided in two parts, 21780 and 80, that multiplied together give a square (1742400 = 1320²).

The spelling of 2178080 in words is "two million, one hundred seventy-eight thousand, eighty".