2281334720 has 224 divisors, whose sum is σ = 6636349440. Its totient is φ = 729169920.

The previous prime is 2281334707. The next prime is 2281334723. The reversal of 2281334720 is 274331822.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281334723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292905 + ... + 5293335.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^2281334720 is an apocalyptic number.

2281334720 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 2281334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318174720).

2281334720 is an abundant number, since it is smaller than the sum of its proper divisors (4355014720).

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

2281334720 is a wasteful number, since it uses less digits than its factorization.

2281334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2281334720 is about 47763.3198176174. The cubic root of 2281334720 is about 1316.4256529070.

The spelling of 2281334720 in words is "two billion, two hundred eighty-one million, three hundred thirty-four thousand, seven hundred twenty".