2281828320 has 192 divisors, whose sum is σ = 8086236480. Its totient is φ = 608394240.

The previous prime is 2281828279. The next prime is 2281828343. The reversal of 2281828320 is 238281822.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346660 + ... + 353180.

It is an arithmetic number, because the mean of its divisors is an integer number (42115815).

Almost surely, 2^2281828320 is an apocalyptic number.

2281828320 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 2281828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043118240).

2281828320 is an abundant number, since it is smaller than the sum of its proper divisors (5804408160).

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

2281828320 is an frugal number, since it uses more digits than its factorization.

2281828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2281828320 is about 47768.4866831680. The cubic root of 2281828320 is about 1316.5205886828.

The spelling of 2281828320 in words is "two billion, two hundred eighty-one million, eight hundred twenty-eight thousand, three hundred twenty".