2277920 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 870144.

The previous prime is 2277917. The next prime is 2277941. The reversal of 2277920 is 297722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3371 + ... + 3989.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^2277920 is an apocalyptic number.

2277920 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 2277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2277920 is an abundant number, since it is smaller than the sum of its proper divisors (3346720).

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

2277920 is a wasteful number, since it uses less digits than its factorization.

2277920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 2277920 is about 1509.2779730719. The cubic root of 2277920 is about 131.5768512789.

The spelling of 2277920 in words is "two million, two hundred seventy-seven thousand, nine hundred twenty".