2110448256 has 384 divisors, whose sum is σ = 7130534400. Its totient is φ = 539965440.

The previous prime is 2110448251. The next prime is 2110448257. The reversal of 2110448256 is 6528440112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110448251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49080171 + ... + 49080213.

It is an arithmetic number, because the mean of its divisors is an integer number (18569100).

Almost surely, 2^2110448256 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 2110448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565267200).

2110448256 is an abundant number, since it is smaller than the sum of its proper divisors (5020086144).

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

2110448256 is a wasteful number, since it uses less digits than its factorization.

2110448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2110448256 is about 45939.6153227255. The cubic root of 2110448256 is about 1282.6994332844.

Adding to 2110448256 its reverse (6528440112), we get a palindrome (8638888368).

The spelling of 2110448256 in words is "two billion, one hundred ten million, four hundred forty-eight thousand, two hundred fifty-six".