2284583220 has 36 divisors (see below), whose sum is σ = 6929902980. Its totient is φ = 609222144.

The previous prime is 2284583209. The next prime is 2284583221. The reversal of 2284583220 is 223854822.

2284583220 is a `hidden beast` number, since 2 + 284 + 58 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458559396 + 1826023824 = 21414^2 + 42732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284583221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6345885 + ... + 6346244.

It is an arithmetic number, because the mean of its divisors is an integer number (192497305).

Almost surely, 2^2284583220 is an apocalyptic number.

2284583220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2284583220 is an abundant number, since it is smaller than the sum of its proper divisors (4645319760).

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

2284583220 is a wasteful number, since it uses less digits than its factorization.

2284583220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692144 (or 12692139 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2284583220 is about 47797.3139412666. The cubic root of 2284583220 is about 1317.0501967332.

The spelling of 2284583220 in words is "two billion, two hundred eighty-four million, five hundred eighty-three thousand, two hundred twenty".