2258211795030 has 256 divisors, whose sum is σ = 6447884083200. Its totient is φ = 560731248000.

The previous prime is 2258211794999. The next prime is 2258211795041. The reversal of 2258211795030 is 305971128522.

2258211795030 is a `hidden beast` number, since 2 + 2 + 58 + 21 + 1 + 79 + 503 + 0 = 666.

2258211795030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2258211795030² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120550765 + ... + 120569495.

It is an arithmetic number, because the mean of its divisors is an integer number (25187047200).

Almost surely, 2^{2258211795030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258211795030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223942041600).

2258211795030 is an abundant number, since it is smaller than the sum of its proper divisors (4189672288170).

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

2258211795030 is a wasteful number, since it uses less digits than its factorization.

2258211795030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168 (or 19162 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2258211795030 in words is "two trillion, two hundred fifty-eight billion, two hundred eleven million, seven hundred ninety-five thousand, thirty".