2628105480000 has 5040 divisors, whose sum is σ = 13905287383680. Its totient is φ = 474439680000.

The previous prime is 2628105479957. The next prime is 2628105480047. The reversal of 2628105480000 is 845018262.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 154594439992 + ... + 154594440008.

It is an arithmetic number, because the mean of its divisors is an integer number (2758985592).

Almost surely, 2^{2628105480000} is an apocalyptic number.

2628105480000 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 2628105480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952643691840).

2628105480000 is an abundant number, since it is smaller than the sum of its proper divisors (11277181903680).

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

2628105480000 is a wasteful number, since it uses less digits than its factorization.

2628105480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2628105480000 in words is "two trillion, six hundred twenty-eight billion, one hundred five million, four hundred eighty thousand".