2721848028480 has 2240 divisors, whose sum is σ = 11864547459072. Its totient is φ = 579400335360.

The previous prime is 2721848028461. The next prime is 2721848028491. The reversal of 2721848028480 is 848208481272.

2721848028480 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 8 + 480 + 2 + 84 + 80 = 666.

2721848028480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×2721848028480³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21431874177 + ... + 21431874303.

Almost surely, 2^{2721848028480} is an apocalyptic number.

2721848028480 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 2721848028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932273729536).

2721848028480 is an abundant number, since it is smaller than the sum of its proper divisors (9142699430592).

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

2721848028480 is a wasteful number, since it uses less digits than its factorization.

2721848028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 2721848028480 in words is "two trillion, seven hundred twenty-one billion, eight hundred forty-eight million, twenty-eight thousand, four hundred eighty".