2722560000 has 240 divisors, whose sum is σ = 9082873800. Its totient is φ = 724992000.

The previous prime is 2722559999. The next prime is 2722560017. The reversal of 2722560000 is 652272.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839646 + ... + 3840354.

Almost surely, 2^2722560000 is an apocalyptic number.

2722560000 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 2722560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541436900).

2722560000 is an abundant number, since it is smaller than the sum of its proper divisors (6360313800).

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

2722560000 is an frugal number, since it uses more digits than its factorization.

2722560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2722560000 is about 52178.1563491850. The cubic root of 2722560000 is about 1396.3442034859.

The spelling of 2722560000 in words is "two billion, seven hundred twenty-two million, five hundred sixty thousand".