2708514319680 has 336 divisors, whose sum is σ = 10468999981440. Its totient is φ = 637723570176.

The previous prime is 2708514319663. The next prime is 2708514319691. The reversal of 2708514319680 is 869134158072.

2708514319680 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 514 + 31 + 96 + 8 + 0 = 666.

It is a super-2 number, since 2×2708514319680² (a number of 26 digits) contains 22 as substring.

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, 711550 + ... + 2433789.

It is an arithmetic number, because the mean of its divisors is an integer number (31157738040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2708514319680 = 5417028639360, but 3⋅2708514319680 = 8125542959040 is not.

Almost surely, 2^{2708514319680} is an apocalyptic number.

2708514319680 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 2708514319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234499990720).

2708514319680 is an abundant number, since it is smaller than the sum of its proper divisors (7760485661760).

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

2708514319680 is a wasteful number, since it uses less digits than its factorization.

2708514319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145398 (or 3145385 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2708514319680 in words is "two trillion, seven hundred eight billion, five hundred fourteen million, three hundred nineteen thousand, six hundred eighty".