2722081609200 has 240 divisors, whose sum is σ = 9271307312640. Its totient is φ = 680329359360.

The previous prime is 2722081609123. The next prime is 2722081609243. The reversal of 2722081609200 is 29061802272.

2722081609200 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 (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4596447 + ... + 5154753.

It is an arithmetic number, because the mean of its divisors is an integer number (38630447136).

Almost surely, 2^{2722081609200} is an apocalyptic number.

2722081609200 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 2722081609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635653656320).

2722081609200 is an abundant number, since it is smaller than the sum of its proper divisors (6549225703440).

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

2722081609200 is a wasteful number, since it uses less digits than its factorization.

2722081609200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558584 (or 558573 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 2722081609200 in words is "two trillion, seven hundred twenty-two billion, eighty-one million, six hundred nine thousand, two hundred".