2258055720 has 96 divisors (see below), whose sum is σ = 7352509320. Its totient is φ = 601013760.

The previous prime is 2258055707. The next prime is 2258055743. The reversal of 2258055720 is 275508522.

2258055720 is a `hidden beast` number, since 2 + 2 + 5 + 80 + 5 + 572 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1977225156 + 280830564 = 44466^2 + 16758^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 194890 + ... + 206150.

Almost surely, 2^2258055720 is an apocalyptic number.

2258055720 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 2258055720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676254660).

2258055720 is an abundant number, since it is smaller than the sum of its proper divisors (5094453600).

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

2258055720 is a wasteful number, since it uses less digits than its factorization.

2258055720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2258055720 is about 47519.0037774362. The cubic root of 2258055720 is about 1311.9326832530.

The spelling of 2258055720 in words is "two billion, two hundred fifty-eight million, fifty-five thousand, seven hundred twenty".