2258794137600 has 3456 divisors, whose sum is σ = 11178634521600. Its totient is φ = 420780441600.

The previous prime is 2258794137577. The next prime is 2258794137619. The reversal of 2258794137600 is 67314978522.

It is a happy number.

2258794137600 is a `hidden beast` number, since 2 + 25 + 8 + 7 + 9 + 4 + 1 + 3 + 7 + 600 = 666.

It is a super-2 number, since 2×2258794137600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 27214387159 + ... + 27214387241.

It is an arithmetic number, because the mean of its divisors is an integer number (3234558600).

It is a 1-persistent number, because it is pandigital, but 2⋅2258794137600 = 4517588275200 is not.

Almost surely, 2^{2258794137600} is an apocalyptic number.

2258794137600 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 2258794137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589317260800).

2258794137600 is an abundant number, since it is smaller than the sum of its proper divisors (8919840384000).

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

2258794137600 is a wasteful number, since it uses less digits than its factorization.

2258794137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2258794137600 in words is "two trillion, two hundred fifty-eight billion, seven hundred ninety-four million, one hundred thirty-seven thousand, six hundred".