2283097328208 has 280 divisors, whose sum is σ = 6800865378216. Its totient is φ = 741718425600.

The previous prime is 2283097328207. The next prime is 2283097328261. The reversal of 2283097328208 is 8028237903822.

It is a happy number.

2283097328208 is a `hidden beast` number, since 2 + 2 + 8 + 309 + 7 + 328 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133964784144 + 2149132544064 = 366012^2 + 1465992^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283097328201) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 660425616 + ... + 660429072.

Almost surely, 2^{2283097328208} 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 2283097328208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400432689108).

2283097328208 is an abundant number, since it is smaller than the sum of its proper divisors (4517768050008).

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

2283097328208 is a wasteful number, since it uses less digits than its factorization.

2283097328208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2283097328208 in words is "two trillion, two hundred eighty-three billion, ninety-seven million, three hundred twenty-eight thousand, two hundred eight".