2004228096780 has 576 divisors, whose sum is σ = 7236212723712. Its totient is φ = 410530498560.

The previous prime is 2004228096779. The next prime is 2004228096791. The reversal of 2004228096780 is 876908224002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773533285 + ... + 773535875.

It is an arithmetic number, because the mean of its divisors is an integer number (12562869312).

Almost surely, 2^{2004228096780} is an apocalyptic number.

2004228096780 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 2004228096780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618106361856).

2004228096780 is an abundant number, since it is smaller than the sum of its proper divisors (5231984626932).

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

2004228096780 is a wasteful number, since it uses less digits than its factorization.

2004228096780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 2004228096780 in words is "two trillion, four billion, two hundred twenty-eight million, ninety-six thousand, seven hundred eighty".