2721005844480 has 3456 divisors, whose sum is σ = 13350591072000. Its totient is φ = 518366822400.

The previous prime is 2721005844421. The next prime is 2721005844481. The reversal of 2721005844480 is 844485001272.

2721005844480 is a `hidden beast` number, since 2 + 7 + 21 + 0 + 0 + 584 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721005844481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87774382065 + ... + 87774382095.

It is an arithmetic number, because the mean of its divisors is an integer number (3863018250).

Almost surely, 2^{2721005844480} is an apocalyptic number.

2721005844480 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 2721005844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675295536000).

2721005844480 is an abundant number, since it is smaller than the sum of its proper divisors (10629585227520).

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

2721005844480 is a wasteful number, since it uses less digits than its factorization.

2721005844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 2721005844480 in words is "two trillion, seven hundred twenty-one billion, five million, eight hundred forty-four thousand, four hundred eighty".