2258532000 has 288 divisors, whose sum is σ = 8207559360. Its totient is φ = 587865600.

The previous prime is 2258531999. The next prime is 2258532037. The reversal of 2258532000 is 2358522.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547271 + ... + 1548729.

It is an arithmetic number, because the mean of its divisors is an integer number (28498470).

Almost surely, 2^2258532000 is an apocalyptic number.

2258532000 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 2258532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103779680).

2258532000 is an abundant number, since it is smaller than the sum of its proper divisors (5949027360).

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

2258532000 is a wasteful number, since it uses less digits than its factorization.

2258532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2258532000 is about 47524.0149819015. The cubic root of 2258532000 is about 1312.0249164909.

The spelling of 2258532000 in words is "two billion, two hundred fifty-eight million, five hundred thirty-two thousand".