2277080 has 64 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 806400.

The previous prime is 2277071. The next prime is 2277083. The reversal of 2277080 is 807722.

It is a Cunningham number, because it is equal to 1509²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15005 + ... + 15155.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

2^2277080 is an apocalyptic number.

2277080 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 2277080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2277080 is an abundant number, since it is smaller than the sum of its proper divisors (3468520).

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

2277080 is a wasteful number, since it uses less digits than its factorization.

2277080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 2277080 is about 1508.9996686547. Note that the first 3 decimals coincide. The cubic root of 2277080 is about 131.5606759752.

The spelling of 2277080 in words is "two million, two hundred seventy-seven thousand, eighty".