2281337120 has 144 divisors (see below), whose sum is σ = 5733907704. Its totient is φ = 857088000.

The previous prime is 2281337119. The next prime is 2281337131. The reversal of 2281337120 is 217331822.

It can be written as a sum of positive squares in 4 ways, for example, as 2255490064 + 25847056 = 47492^2 + 5084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5688920 + ... + 5689320.

Almost surely, 2^2281337120 is an apocalyptic number.

2281337120 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 2281337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866953852).

2281337120 is an abundant number, since it is smaller than the sum of its proper divisors (3452570584).

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

2281337120 is a wasteful number, since it uses less digits than its factorization.

2281337120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 2281337120 is about 47763.3449414925. The cubic root of 2281337120 is about 1316.4261145403.

Adding to 2281337120 its reverse (217331822), we get a palindrome (2498668942).

The spelling of 2281337120 in words is "two billion, two hundred eighty-one million, three hundred thirty-seven thousand, one hundred twenty".