2127079948032 has 432 divisors, whose sum is σ = 6861083419008. Its totient is φ = 653358182400.

The previous prime is 2127079948013. The next prime is 2127079948073. The reversal of 2127079948032 is 2308499707212.

It is a happy number.

2127079948032 is a `hidden beast` number, since 2 + 1 + 2 + 70 + 7 + 99 + 480 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2127079948032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552342907 + ... + 552346757.

It is an arithmetic number, because the mean of its divisors is an integer number (15882137544).

Almost surely, 2^{2127079948032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2127079948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430541709504).

2127079948032 is an abundant number, since it is smaller than the sum of its proper divisors (4734003470976).

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

2127079948032 is an equidigital number, since it uses as much as digits as its factorization.

2127079948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2127079948032 in words is "two trillion, one hundred twenty-seven billion, seventy-nine million, nine hundred forty-eight thousand, thirty-two".