2256450075 has 192 divisors, whose sum is σ = 4809692160. Its totient is φ = 1026432000.

The previous prime is 2256450071. The next prime is 2256450101. The reversal of 2256450075 is 5700546522.

2256450075 is a `hidden beast` number, since 2 + 2 + 5 + 645 + 0 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 2256450075 - 2² = 2256450071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2256450071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12466485 + ... + 12466665.

It is an arithmetic number, because the mean of its divisors is an integer number (25050480).

Almost surely, 2^2256450075 is an apocalyptic number.

2256450075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2256450075 is an abundant number, since it is smaller than the sum of its proper divisors (2553242085).

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

2256450075 is a wasteful number, since it uses less digits than its factorization.

2256450075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2256450075 is about 47502.1060059446. The cubic root of 2256450075 is about 1311.6216490560.

Adding to 2256450075 its reverse (5700546522), we get a palindrome (7956996597).

The spelling of 2256450075 in words is "two billion, two hundred fifty-six million, four hundred fifty thousand, seventy-five".