2258982416400 has 480 divisors, whose sum is σ = 7799145108480. Its totient is φ = 557512919040.

The previous prime is 2258982416351. The next prime is 2258982416407. The reversal of 2258982416400 is 46142898522.

It is not an unprimeable number, because it can be changed into a prime (2258982416407) 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 95 ways as a sum of consecutive naturals, for example, 126978706 + ... + 126996494.

It is an arithmetic number, because the mean of its divisors is an integer number (16248218976).

Almost surely, 2^{2258982416400} is an apocalyptic number.

2258982416400 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 2258982416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899572554240).

2258982416400 is an abundant number, since it is smaller than the sum of its proper divisors (5540162692080).

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

2258982416400 is a wasteful number, since it uses less digits than its factorization.

2258982416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17983 (or 17972 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 2258982416400 in words is "two trillion, two hundred fifty-eight billion, nine hundred eighty-two million, four hundred sixteen thousand, four hundred".