2706944536128 has 224 divisors, whose sum is σ = 8487244595200. Its totient is φ = 745105029120.

The previous prime is 2706944536103. The next prime is 2706944536141. The reversal of 2706944536128 is 8216354496072.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9145398 + ... + 9436746.

It is an arithmetic number, because the mean of its divisors is an integer number (37889484800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2706944536128 = 5413889072256, but 3⋅2706944536128 = 8120833608384 is not.

Almost surely, 2^{2706944536128} is an apocalyptic number.

2706944536128 is a gapful number since it is divisible by the number (28) 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 2706944536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243622297600).

2706944536128 is an abundant number, since it is smaller than the sum of its proper divisors (5780300059072).

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

2706944536128 is a wasteful number, since it uses less digits than its factorization.

2706944536128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291625 (or 291615 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 2706944536128 in words is "two trillion, seven hundred six billion, nine hundred forty-four million, five hundred thirty-six thousand, one hundred twenty-eight".