2277120 has 72 divisors (see below), whose sum is σ = 7284816. Its totient is φ = 606208.

The previous prime is 2277113. The next prime is 2277127. The reversal of 2277120 is 217722.

It is an interprime number because it is at equal distance from previous prime (2277113) and next prime (2277127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3544 + ... + 4136.

It is an arithmetic number, because the mean of its divisors is an integer number (101178).

2^2277120 is an apocalyptic number.

2277120 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 2277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642408).

2277120 is an abundant number, since it is smaller than the sum of its proper divisors (5007696).

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

2277120 is an equidigital number, since it uses as much as digits as its factorization.

2277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 2277120 is about 1509.0129224099. The cubic root of 2277120 is about 131.5614463179.

It can be divided in two parts, 22771 and 20, that added together give a triangular number (22791 = T₂₁₃).

The spelling of 2277120 in words is "two million, two hundred seventy-seven thousand, one hundred twenty".