2286234720 has 960 divisors, whose sum is σ = 10538035200. Its totient is φ = 452874240.

The previous prime is 2286234703. The next prime is 2286234721. The reversal of 2286234720 is 274326822.

It is a happy number.

2286234720 is a `hidden beast` number, since 2 + 2 + 8 + 623 + 4 + 7 + 20 = 666.

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 (2286234721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28939641 + ... + 28939719.

It is an arithmetic number, because the mean of its divisors is an integer number (10977120).

Almost surely, 2^2286234720 is an apocalyptic number.

2286234720 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 2286234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269017600).

2286234720 is an abundant number, since it is smaller than the sum of its proper divisors (8251800480).

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

2286234720 is a wasteful number, since it uses less digits than its factorization.

2286234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2286234720 is about 47814.5868956326. The cubic root of 2286234720 is about 1317.3674806431.

The spelling of 2286234720 in words is "two billion, two hundred eighty-six million, two hundred thirty-four thousand, seven hundred twenty".