2277285920 has 192 divisors, whose sum is σ = 6660299520. Its totient is φ = 716525568.

The previous prime is 2277285911. The next prime is 2277286003. The reversal of 2277285920 is 295827722.

It is a super-2 number, since 2×2277285920² = 10372062322860492800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333899 + ... + 3334581.

It is an arithmetic number, because the mean of its divisors is an integer number (34689060).

Almost surely, 2^2277285920 is an apocalyptic number.

2277285920 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 2277285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330149760).

2277285920 is an abundant number, since it is smaller than the sum of its proper divisors (4383013600).

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

2277285920 is a wasteful number, since it uses less digits than its factorization.

2277285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 2277285920 is about 47720.9170071154. The cubic root of 2277285920 is about 1315.6464160336.

The spelling of 2277285920 in words is "two billion, two hundred seventy-seven million, two hundred eighty-five thousand, nine hundred twenty".