2708794219200 has 672 divisors, whose sum is σ = 9672441757440. Its totient is φ = 661428633600.

The previous prime is 2708794219163. The next prime is 2708794219237. The reversal of 2708794219200 is 29124978072.

2708794219200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2708794219163) and next prime (2708794219237).

It is a super-2 number, since 2×2708794219200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380391640 + ... + 380398760.

It is an arithmetic number, because the mean of its divisors is an integer number (14393514520).

Almost surely, 2^{2708794219200} is an apocalyptic number.

2708794219200 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 2708794219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836220878720).

2708794219200 is an abundant number, since it is smaller than the sum of its proper divisors (6963647538240).

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

2708794219200 is a wasteful number, since it uses less digits than its factorization.

2708794219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 2708794219200 in words is "two trillion, seven hundred eight billion, seven hundred ninety-four million, two hundred nineteen thousand, two hundred".