2258831485440 has 480 divisors, whose sum is σ = 8326339843536. Its totient is φ = 563966115840.

The previous prime is 2258831485439. The next prime is 2258831485447. The reversal of 2258831485440 is 445841388522.

2258831485440 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 83 + 14 + 8 + 544 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 524152832256 + 1734678653184 = 723984^2 + 1317072^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (2258831485447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75579300 + ... + 75609180.

Almost surely, 2^{2258831485440} is an apocalyptic number.

2258831485440 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 2258831485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163169921768).

2258831485440 is an abundant number, since it is smaller than the sum of its proper divisors (6067508358096).

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

2258831485440 is a wasteful number, since it uses less digits than its factorization.

2258831485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30120 (or 30101 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 2258831485440 in words is "two trillion, two hundred fifty-eight billion, eight hundred thirty-one million, four hundred eighty-five thousand, four hundred forty".