2127655434240 has 1344 divisors, whose sum is σ = 9212342630400. Its totient is φ = 460510396416.

The previous prime is 2127655434227. The next prime is 2127655434283. The reversal of 2127655434240 is 424345567212.

2127655434240 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 65 + 543 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992838609 + ... + 992840751.

It is an arithmetic number, because the mean of its divisors is an integer number (6854421600).

Almost surely, 2^{2127655434240} is an apocalyptic number.

2127655434240 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 2127655434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606171315200).

2127655434240 is an abundant number, since it is smaller than the sum of its proper divisors (7084687196160).

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

2127655434240 is an equidigital number, since it uses as much as digits as its factorization.

2127655434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 2127655434240 in words is "two trillion, one hundred twenty-seven billion, six hundred fifty-five million, four hundred thirty-four thousand, two hundred forty".