2282176800 has 162 divisors, whose sum is σ = 8061845337. Its totient is φ = 607499520.

The previous prime is 2282176783. The next prime is 2282176801. The reversal of 2282176800 is 86712822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2236533264 + 45643536 = 47292^2 + 6756^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33780.

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

It is not an unprimeable number, because it can be changed into a prime (2282176801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4053319 + ... + 4053881.

Almost surely, 2^2282176800 is an apocalyptic number.

2282176800 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 2282176800

2282176800 is an abundant number, since it is smaller than the sum of its proper divisors (5779668537).

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

2282176800 is an equidigital number, since it uses as much as digits as its factorization.

2282176800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2282176800 is about 47772.1341369632. The cubic root of 2282176800 is about 1316.5876047882.

The spelling of 2282176800 in words is "two billion, two hundred eighty-two million, one hundred seventy-six thousand, eight hundred".