2258187265752 has 128 divisors (see below), whose sum is σ = 6218091221760. Its totient is φ = 677708881920.

The previous prime is 2258187265739. The next prime is 2258187265757. The reversal of 2258187265752 is 2575627818522.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258187265757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38662923 + ... + 38721285.

It is an arithmetic number, because the mean of its divisors is an integer number (48578837670).

Almost surely, 2^{2258187265752} is an apocalyptic number.

2258187265752 is a gapful number since it is divisible by the number (22) 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 2258187265752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109045610880).

2258187265752 is an abundant number, since it is smaller than the sum of its proper divisors (3959903956008).

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

2258187265752 is a wasteful number, since it uses less digits than its factorization.

2258187265752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59793 (or 59789 counting only the distinct ones).

The product of its digits is 37632000, while the sum is 60.

The spelling of 2258187265752 in words is "two trillion, two hundred fifty-eight billion, one hundred eighty-seven million, two hundred sixty-five thousand, seven hundred fifty-two".