2281353984 has 648 divisors, whose sum is σ = 8713915392. Its totient is φ = 582266880.

The previous prime is 2281353983. The next prime is 2281353989. The reversal of 2281353984 is 4893531822.

2281353984 is a `hidden beast` number, since 2 + 28 + 13 + 539 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281353983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73592049 + ... + 73592079.

Almost surely, 2^2281353984 is an apocalyptic number.

2281353984 is a gapful number since it is divisible by the number (24) 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 2281353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356957696).

2281353984 is an abundant number, since it is smaller than the sum of its proper divisors (6432561408).

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

2281353984 is an equidigital number, since it uses as much as digits as its factorization.

2281353984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 56 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2281353984 is about 47763.5214782160. The cubic root of 2281353984 is about 1316.4293582748.

The spelling of 2281353984 in words is "two billion, two hundred eighty-one million, three hundred fifty-three thousand, nine hundred eighty-four".