2258237520 has 810 divisors, whose sum is σ = 10136964474. Its totient is φ = 448842240.

The previous prime is 2258237519. The next prime is 2258237521. The reversal of 2258237520 is 257328522.

It is a happy number.

2258237520 is a `hidden beast` number, since 2 + 2 + 582 + 3 + 75 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2258237519) and next prime (2258237521).

It can be written as a sum of positive squares in only one way, i.e., 1806590016 + 451647504 = 42504^2 + 21252^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258237521) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 98184229 + ... + 98184251.

Almost surely, 2^2258237520 is an apocalyptic number.

2258237520 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 2258237520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068482237).

2258237520 is an abundant number, since it is smaller than the sum of its proper divisors (7878726954).

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

2258237520 is a wasteful number, since it uses less digits than its factorization.

2258237520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2258237520 is about 47520.9166578255. The cubic root of 2258237520 is about 1311.9678909701.

It can be divided in two parts, 2258 and 237520, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 2258237520 in words is "two billion, two hundred fifty-eight million, two hundred thirty-seven thousand, five hundred twenty".