2258359488 has 336 divisors, whose sum is σ = 8345505280. Its totient is φ = 586206720.

The previous prime is 2258359483. The next prime is 2258359547. The reversal of 2258359488 is 8849538522.

It is a happy number.

2258359488 is a `hidden beast` number, since 2 + 2 + 583 + 59 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2258359483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462845 + ... + 1464387.

Almost surely, 2^2258359488 is an apocalyptic number.

2258359488 is a gapful number since it is divisible by the number (28) 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 2258359488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172752640).

2258359488 is an abundant number, since it is smaller than the sum of its proper divisors (6087145792).

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

2258359488 is a wasteful number, since it uses less digits than its factorization.

2258359488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1566 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 2258359488 is about 47522.1999490764. The cubic root of 2258359488 is about 1311.9915104547.

The spelling of 2258359488 in words is "two billion, two hundred fifty-eight million, three hundred fifty-nine thousand, four hundred eighty-eight".