2628986880000 has 1200 divisors, whose sum is σ = 9802386982080. Its totient is φ = 622067712000.

The previous prime is 2628986879941. The next prime is 2628986880011. The reversal of 2628986880000 is 886898262.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11581439887 + ... + 11581440113.

Almost surely, 2^{2628986880000} is an apocalyptic number.

2628986880000 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 2628986880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901193491040).

2628986880000 is an abundant number, since it is smaller than the sum of its proper divisors (7173400102080).

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

2628986880000 is an equidigital number, since it uses as much as digits as its factorization.

2628986880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 2628986880000 in words is "two trillion, six hundred twenty-eight billion, nine hundred eighty-six million, eight hundred eighty thousand".