2258784000 has 864 divisors, whose sum is σ = 9550614528. Its totient is φ = 506880000.

The previous prime is 2258783993. The next prime is 2258784053. The reversal of 2258784000 is 4878522.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72863985 + ... + 72864015.

It is an arithmetic number, because the mean of its divisors is an integer number (11053952).

Almost surely, 2^2258784000 is an apocalyptic number.

2258784000 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 2258784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775307264).

2258784000 is an abundant number, since it is smaller than the sum of its proper divisors (7291830528).

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

2258784000 is a wasteful number, since it uses less digits than its factorization.

2258784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2258784000 is about 47526.6661990929. Note that the first 3 decimals coincide. The cubic root of 2258784000 is about 1312.0737119006.

The spelling of 2258784000 in words is "two billion, two hundred fifty-eight million, seven hundred eighty-four thousand".