2258584460 has 96 divisors (see below), whose sum is σ = 5320111104. Its totient is φ = 798336000.

The previous prime is 2258584457. The next prime is 2258584469. The reversal of 2258584460 is 644858522.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2258584469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2563220 + ... + 2564100.

It is an arithmetic number, because the mean of its divisors is an integer number (55417824).

Almost surely, 2^2258584460 is an apocalyptic number.

2258584460 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 2258584460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660055552).

2258584460 is an abundant number, since it is smaller than the sum of its proper divisors (3061526644).

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

2258584460 is a wasteful number, since it uses less digits than its factorization.

2258584460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The square root of 2258584460 is about 47524.5669101782. The cubic root of 2258584460 is about 1312.0350747551.

The spelling of 2258584460 in words is "two billion, two hundred fifty-eight million, five hundred eighty-four thousand, four hundred sixty".