2721608329440 has 768 divisors, whose sum is σ = 11521287880704. Its totient is φ = 521546342400.

The previous prime is 2721608329403. The next prime is 2721608329441. The reversal of 2721608329440 is 449238061272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2721608329440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721608329441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 741378805 + ... + 741382475.

It is an arithmetic number, because the mean of its divisors is an integer number (15001676928).

Almost surely, 2^{2721608329440} is an apocalyptic number.

2721608329440 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 2721608329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760643940352).

2721608329440 is an abundant number, since it is smaller than the sum of its proper divisors (8799679551264).

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

2721608329440 is a wasteful number, since it uses less digits than its factorization.

2721608329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 2721608329440 in words is "two trillion, seven hundred twenty-one billion, six hundred eight million, three hundred twenty-nine thousand, four hundred forty".