2256958080 has 640 divisors, whose sum is σ = 9237246480. Its totient is φ = 520224768.

The previous prime is 2256958057. The next prime is 2256958087. The reversal of 2256958080 is 808596522.

2256958080 is a `hidden beast` number, since 2 + 2 + 5 + 69 + 580 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1573867584 + 683090496 = 39672^2 + 26136^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2256958087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456542 + ... + 11456738.

Almost surely, 2^2256958080 is an apocalyptic number.

2256958080 is a gapful number since it is divisible by the number (20) 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 2256958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618623240).

2256958080 is an abundant number, since it is smaller than the sum of its proper divisors (6980288400).

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

2256958080 is a wasteful number, since it uses less digits than its factorization.

2256958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2256958080 is about 47507.4528889942. The cubic root of 2256958080 is about 1311.7200721449.

The spelling of 2256958080 in words is "two billion, two hundred fifty-six million, nine hundred fifty-eight thousand, eighty".