2259350080 has 56 divisors (see below), whose sum is σ = 5793940152. Its totient is φ = 834220032.

The previous prime is 2259350077. The next prime is 2259350087. The reversal of 2259350080 is 800539522.

It can be written as a sum of positive squares in 4 ways, for example, as 120472576 + 2138877504 = 10976^2 + 46248^2 .

It is not an unprimeable number, because it can be changed into a prime (2259350087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267397 + ... + 275716.

It is an arithmetic number, because the mean of its divisors is an integer number (103463217).

Almost surely, 2^2259350080 is an apocalyptic number.

2259350080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259350080 is an abundant number, since it is smaller than the sum of its proper divisors (3534590072).

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

2259350080 is a wasteful number, since it uses less digits than its factorization.

2259350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543143 (or 543133 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2259350080 is about 47532.6212195372. The cubic root of 2259350080 is about 1312.1833101991.

The spelling of 2259350080 in words is "two billion, two hundred fifty-nine million, three hundred fifty thousand, eighty".