2258195328 has 128 divisors (see below), whose sum is σ = 6759417600. Its totient is φ = 742049280.

The previous prime is 2258195311. The next prime is 2258195347. The reversal of 2258195328 is 8235918522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2258195328² = 10198892278802055168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240775 + ... + 249977.

It is an arithmetic number, because the mean of its divisors is an integer number (52807950).

Almost surely, 2^2258195328 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 2258195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379708800).

2258195328 is an abundant number, since it is smaller than the sum of its proper divisors (4501222272).

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

2258195328 is an equidigital number, since it uses as much as digits as its factorization.

2258195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9297 (or 9279 counting only the distinct ones).

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

The square root of 2258195328 is about 47520.4727249214. The cubic root of 2258195328 is about 1311.9597201594.

The spelling of 2258195328 in words is "two billion, two hundred fifty-eight million, one hundred ninety-five thousand, three hundred twenty-eight".