2258784000000 has 2016 divisors, whose sum is σ = 9582177346560. Its totient is φ = 506880000000.

The previous prime is 2258783999947. The next prime is 2258784000001. The reversal of 2258784000000 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 not an unprimeable number, because it can be changed into a prime (2258784000001) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 72863999985 + ... + 72864000015.

It is an arithmetic number, because the mean of its divisors is an integer number (4753064160).

Almost surely, 2^{2258784000000} is an apocalyptic number.

2258784000000 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 2258784000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791088673280).

2258784000000 is an abundant number, since it is smaller than the sum of its proper divisors (7323393346560).

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

2258784000000 is an equidigital number, since it uses as much as digits as its factorization.

2258784000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 75 counting only the distinct ones).

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

Adding to 2258784000000 its reverse (4878522), we get a palindrome (2258788878522).

The spelling of 2258784000000 in words is "two trillion, two hundred fifty-eight billion, seven hundred eighty-four million", and thus it is an aban number.