2808120268800 has 4608 divisors, whose sum is σ = 14226289459200. Its totient is φ = 525533184000.

The previous prime is 2808120268721. The next prime is 2808120268829. The reversal of 2808120268800 is 88620218082.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75895142382 + ... + 75895142418.

It is an arithmetic number, because the mean of its divisors is an integer number (3087302400).

Almost surely, 2^{2808120268800} is an apocalyptic number.

2808120268800 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 2808120268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113144729600).

2808120268800 is an abundant number, since it is smaller than the sum of its proper divisors (11418169190400).

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

2808120268800 is a wasteful number, since it uses less digits than its factorization.

2808120268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 2808120268800 in words is "two trillion, eight hundred eight billion, one hundred twenty million, two hundred sixty-eight thousand, eight hundred".