2158250814720 has 1728 divisors, whose sum is σ = 10341789696000. Its totient is φ = 413883924480.

The previous prime is 2158250814701. The next prime is 2158250814721. The reversal of 2158250814720 is 274180528512.

2158250814720 is a `hidden beast` number, since 2 + 1 + 5 + 82 + 508 + 1 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158250814721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449726881 + ... + 449731679.

It is an arithmetic number, because the mean of its divisors is an integer number (5984832000).

Almost surely, 2^{2158250814720} is an apocalyptic number.

2158250814720 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 2158250814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170894848000).

2158250814720 is an abundant number, since it is smaller than the sum of its proper divisors (8183538881280).

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

2158250814720 is a wasteful number, since it uses less digits than its factorization.

2158250814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 2158250814720 in words is "two trillion, one hundred fifty-eight billion, two hundred fifty million, eight hundred fourteen thousand, seven hundred twenty".