2721609918720 has 1152 divisors, whose sum is σ = 12137380577280. Its totient is φ = 561006673920.

The previous prime is 2721609918697. The next prime is 2721609918739. The reversal of 2721609918720 is 278199061272.

2721609918720 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 609 + 9 + 1 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337958214 + ... + 337966266.

It is an arithmetic number, because the mean of its divisors is an integer number (10535920640).

Almost surely, 2^{2721609918720} is an apocalyptic number.

2721609918720 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 2721609918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068690288640).

2721609918720 is an abundant number, since it is smaller than the sum of its proper divisors (9415770658560).

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

2721609918720 is a wasteful number, since it uses less digits than its factorization.

2721609918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 2721609918720 in words is "two trillion, seven hundred twenty-one billion, six hundred nine million, nine hundred eighteen thousand, seven hundred twenty".