2708934109056 has 1536 divisors, whose sum is σ = 10316475187200. Its totient is φ = 689762304000.

The previous prime is 2708934109001. The next prime is 2708934109103. The reversal of 2708934109056 is 6509014398072.

2708934109056 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 93 + 410 + 90 + 56 = 666.

It is a super-2 number, since 2×2708934109056² (a number of 26 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 = 2708934108993 and 2708934109011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6755446456 + ... + 6755446856.

It is an arithmetic number, because the mean of its divisors is an integer number (6716455200).

It is a 1-persistent number, because it is pandigital, but 2⋅2708934109056 = 5417868218112 is not.

Almost surely, 2^{2708934109056} 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 2708934109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158237593600).

2708934109056 is an abundant number, since it is smaller than the sum of its proper divisors (7607541078144).

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

2708934109056 is a wasteful number, since it uses less digits than its factorization.

2708934109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2708934109056 in words is "two trillion, seven hundred eight billion, nine hundred thirty-four million, one hundred nine thousand, fifty-six".