2286385920 has 576 divisors, whose sum is σ = 9999575040. Its totient is φ = 481738752.

The previous prime is 2286385891. The next prime is 2286385939. The reversal of 2286385920 is 295836822.

It is a happy number.

2286385920 is a `hidden beast` number, since 2 + 2 + 8 + 638 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144597 + ... + 3145323.

Almost surely, 2^2286385920 is an apocalyptic number.

2286385920 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 2286385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999787520).

2286385920 is an abundant number, since it is smaller than the sum of its proper divisors (7713189120).

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

2286385920 is a wasteful number, since it uses less digits than its factorization.

2286385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2286385920 is about 47816.1679769511. The cubic root of 2286385920 is about 1317.3965213434.

The spelling of 2286385920 in words is "two billion, two hundred eighty-six million, three hundred eighty-five thousand, nine hundred twenty".