2258350080 has 416 divisors, whose sum is σ = 8492428800. Its totient is φ = 501743616.

The previous prime is 2258350043. The next prime is 2258350103. The reversal of 2258350080 is 800538522.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25374676 + ... + 25374764.

Almost surely, 2^2258350080 is an apocalyptic number.

2258350080 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 2258350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246214400).

2258350080 is an abundant number, since it is smaller than the sum of its proper divisors (6234078720).

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

2258350080 is an equidigital number, since it uses as much as digits as its factorization.

2258350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2258350080 is about 47522.1009636569. The cubic root of 2258350080 is about 1311.9896885963.

The spelling of 2258350080 in words is "two billion, two hundred fifty-eight million, three hundred fifty thousand, eighty".