2282055768 has 256 divisors, whose sum is σ = 6886425600. Its totient is φ = 707211648.

The previous prime is 2282055767. The next prime is 2282055803. The reversal of 2282055768 is 8675502822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282055767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21327571 + ... + 21327677.

It is an arithmetic number, because the mean of its divisors is an integer number (26900100).

Almost surely, 2^2282055768 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 2282055768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443212800).

2282055768 is an abundant number, since it is smaller than the sum of its proper divisors (4604369832).

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

2282055768 is a wasteful number, since it uses less digits than its factorization.

2282055768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2282055768 is about 47770.8673565804. The cubic root of 2282055768 is about 1316.5643299265.

The spelling of 2282055768 in words is "two billion, two hundred eighty-two million, fifty-five thousand, seven hundred sixty-eight".