2281983408 has 160 divisors (see below), whose sum is σ = 6846228480. Its totient is φ = 726900480.

The previous prime is 2281983401. The next prime is 2281983419. The reversal of 2281983408 is 8043891822.

2281983408 is a `hidden beast` number, since 228 + 19 + 8 + 3 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (2281983401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110510 + ... + 1112562.

It is an arithmetic number, because the mean of its divisors is an integer number (42788928).

Almost surely, 2^2281983408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281983408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423114240).

2281983408 is an abundant number, since it is smaller than the sum of its proper divisors (4564245072).

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

2281983408 is a wasteful number, since it uses less digits than its factorization.

2281983408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2281983408 is about 47770.1099852198. The cubic root of 2281983408 is about 1316.5504144615.

The spelling of 2281983408 in words is "two billion, two hundred eighty-one million, nine hundred eighty-three thousand, four hundred eight".