2278120 has 48 divisors (see below), whose sum is σ = 5566860. Its totient is φ = 838656.

The previous prime is 2278117. The next prime is 2278121. The reversal of 2278120 is 218722.

It can be written as a sum of positive squares in 6 ways, for example, as 93636 + 2184484 = 306^2 + 1478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2278091 and 2278100.

It is not an unprimeable number, because it can be changed into a prime (2278121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6592 + ... + 6928.

2^2278120 is an apocalyptic number.

2278120 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 2278120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783430).

2278120 is an abundant number, since it is smaller than the sum of its proper divisors (3288740).

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

2278120 is a wasteful number, since it uses less digits than its factorization.

2278120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2278120 is about 1509.3442284648. The cubic root of 2278120 is about 131.5807019556.

It can be divided in two parts, 22781 and 20, that added together give a square (22801 = 151²).

The spelling of 2278120 in words is "two million, two hundred seventy-eight thousand, one hundred twenty".