2722773409920 has 1152 divisors, whose sum is σ = 10856388441600. Its totient is φ = 626286919680.

The previous prime is 2722773409913. The next prime is 2722773409963. The reversal of 2722773409920 is 299043772272.

2722773409920 is a `hidden beast` number, since 2 + 7 + 2 + 277 + 340 + 9 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 980471572 + ... + 980474348.

It is an arithmetic number, because the mean of its divisors is an integer number (9423948300).

Almost surely, 2^{2722773409920} is an apocalyptic number.

2722773409920 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 2722773409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428194220800).

2722773409920 is an abundant number, since it is smaller than the sum of its proper divisors (8133615031680).

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

2722773409920 is a wasteful number, since it uses less digits than its factorization.

2722773409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 2722773409920 in words is "two trillion, seven hundred twenty-two billion, seven hundred seventy-three million, four hundred nine thousand, nine hundred twenty".