2722552560 has 800 divisors, whose sum is σ = 12300879360. Its totient is φ = 544195584.

The previous prime is 2722552529. The next prime is 2722552603. The reversal of 2722552560 is 652552272.

It is a happy number.

2722552560 is a `hidden beast` number, since 2 + 72 + 2 + 5 + 525 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143292231 + ... + 143292249.

Almost surely, 2^2722552560 is an apocalyptic number.

2722552560 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 2722552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150439680).

2722552560 is an abundant number, since it is smaller than the sum of its proper divisors (9578326800).

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

2722552560 is an equidigital number, since it uses as much as digits as its factorization.

2722552560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2722552560 is about 52178.0850549347. The cubic root of 2722552560 is about 1396.3429315445.

The spelling of 2722552560 in words is "two billion, seven hundred twenty-two million, five hundred fifty-two thousand, five hundred sixty".