2708664940800 has 1944 divisors, whose sum is σ = 12117321775104. Its totient is φ = 565187051520.

The previous prime is 2708664940799. The next prime is 2708664940841. The reversal of 2708664940800 is 80494668072.

2708664940800 is a `hidden beast` number, since 2 + 70 + 8 + 6 + 6 + 494 + 0 + 80 + 0 = 666.

It is a super-3 number, since 3×2708664940800³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8653881444 + ... + 8653881756.

Almost surely, 2^{2708664940800} is an apocalyptic number.

2708664940800 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 2708664940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058660887552).

2708664940800 is an abundant number, since it is smaller than the sum of its proper divisors (9408656834304).

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

2708664940800 is a wasteful number, since it uses less digits than its factorization.

2708664940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2708664940800 in words is "two trillion, seven hundred eight billion, six hundred sixty-four million, nine hundred forty thousand, eight hundred".