2128491509760 has 3024 divisors, whose sum is σ = 10157961242520. Its totient is φ = 423054213120.

The previous prime is 2128491509741. The next prime is 2128491509761. The reversal of 2128491509760 is 679051948212.

It is a happy number.

2128491509760 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 491 + 5 + 0 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×2128491509760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2128491509697 and 2128491509706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128491509761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 92543109109 + ... + 92543109131.

Almost surely, 2^{2128491509760} is an apocalyptic number.

2128491509760 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 2128491509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078980621260).

2128491509760 is an abundant number, since it is smaller than the sum of its proper divisors (8029469732760).

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

2128491509760 is an equidigital number, since it uses as much as digits as its factorization.

2128491509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2128491509760 in words is "two trillion, one hundred twenty-eight billion, four hundred ninety-one million, five hundred nine thousand, seven hundred sixty".