2678120 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 985600.

The previous prime is 2678119. The next prime is 2678131. The reversal of 2678120 is 218762.

2678120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2678120.

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 15 ways as a sum of consecutive naturals, for example, 37685 + ... + 37755.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^2678120 is an apocalyptic number.

2678120 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 2678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2678120 is an abundant number, since it is smaller than the sum of its proper divisors (3853720).

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

2678120 is a wasteful number, since it uses less digits than its factorization.

2678120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2678120 is about 1636.4962572521. The cubic root of 2678120 is about 138.8705037590.

It can be divided in two parts, 26 and 78120, that multiplied together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 2678120 in words is "two million, six hundred seventy-eight thousand, one hundred twenty".