2628444919800 has 384 divisors, whose sum is σ = 9617401589760. Its totient is φ = 581116723200.

The previous prime is 2628444919777. The next prime is 2628444919813. The reversal of 2628444919800 is 89194448262.

It is a happy number.

It is a congruent number.

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, 358436934 + ... + 358444266.

It is an arithmetic number, because the mean of its divisors is an integer number (25045316640).

Almost surely, 2^{2628444919800} is an apocalyptic number.

2628444919800 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 2628444919800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808700794880).

2628444919800 is an abundant number, since it is smaller than the sum of its proper divisors (6988956669960).

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

2628444919800 is a wasteful number, since it uses less digits than its factorization.

2628444919800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 2628444919800 in words is "two trillion, six hundred twenty-eight billion, four hundred forty-four million, nine hundred nineteen thousand, eight hundred".