2126886232320 has 864 divisors, whose sum is σ = 7904449792512. Its totient is φ = 547223371776.

The previous prime is 2126886232279. The next prime is 2126886232321. The reversal of 2126886232320 is 232326886212.

It is a happy number.

2126886232320 is a `hidden beast` number, since 2 + 1 + 268 + 8 + 62 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (2126886232321) 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, 1067177244 + ... + 1067179236.

Almost surely, 2^{2126886232320} is an apocalyptic number.

2126886232320 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 2126886232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952224896256).

2126886232320 is an abundant number, since it is smaller than the sum of its proper divisors (5777563560192).

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

2126886232320 is an equidigital number, since it uses as much as digits as its factorization.

2126886232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2126886232320 in words is "two trillion, one hundred twenty-six billion, eight hundred eighty-six million, two hundred thirty-two thousand, three hundred twenty".