2258986320 has 240 divisors, whose sum is σ = 8140728960. Its totient is φ = 581478912.

The previous prime is 2258986273. The next prime is 2258986369. The reversal of 2258986320 is 236898522.

It is a happy number.

2258986320 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 9 + 8 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 561757 + ... + 565763.

It is an arithmetic number, because the mean of its divisors is an integer number (33919704).

Almost surely, 2^2258986320 is an apocalyptic number.

2258986320 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 2258986320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070364480).

2258986320 is an abundant number, since it is smaller than the sum of its proper divisors (5881742640).

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

2258986320 is a wasteful number, since it uses less digits than its factorization.

2258986320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2258986320 is about 47528.7946407228. The cubic root of 2258986320 is about 1312.1128850174.

The spelling of 2258986320 in words is "two billion, two hundred fifty-eight million, nine hundred eighty-six thousand, three hundred twenty".