2708828881920 has 1584 divisors, whose sum is σ = 11581884241200. Its totient is φ = 582651740160.

The previous prime is 2708828881849. The next prime is 2708828881921. The reversal of 2708828881920 is 291888288072.

2708828881920 is a `hidden beast` number, since 270 + 8 + 8 + 288 + 81 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 491255202816 + 2217573679104 = 700896^2 + 1489152^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2708828881921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2684666376 + ... + 2684667384.

Almost surely, 2^{2708828881920} is an apocalyptic number.

2708828881920 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 2708828881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790942120600).

2708828881920 is an abundant number, since it is smaller than the sum of its proper divisors (8873055359280).

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

2708828881920 is a wasteful number, since it uses less digits than its factorization.

2708828881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 2708828881920 in words is "two trillion, seven hundred eight billion, eight hundred twenty-eight million, eight hundred eighty-one thousand, nine hundred twenty".