2277376920 has 288 divisors, whose sum is σ = 9273111120. Its totient is φ = 480453120.

The previous prime is 2277376909. The next prime is 2277376921. The reversal of 2277376920 is 296737722.

2277376920 is a `hidden beast` number, since 2 + 277 + 376 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277376921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 224355 + ... + 234285.

Almost surely, 2^2277376920 is an apocalyptic number.

2277376920 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 2277376920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636555560).

2277376920 is an abundant number, since it is smaller than the sum of its proper divisors (6995734200).

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

2277376920 is a wasteful number, since it uses less digits than its factorization.

2277376920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9975 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 2277376920 is about 47721.8704578938. The cubic root of 2277376920 is about 1315.6639401439.

The spelling of 2277376920 in words is "two billion, two hundred seventy-seven million, three hundred seventy-six thousand, nine hundred twenty".