2722690880 has 504 divisors, whose sum is σ = 8803724328. Its totient is φ = 794271744.

The previous prime is 2722690829. The next prime is 2722690939. The reversal of 2722690880 is 880962272.

It can be written as a sum of positive squares in 4 ways, for example, as 327175744 + 2395515136 = 18088^2 + 48944^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73586222 + ... + 73586258.

It is an arithmetic number, because the mean of its divisors is an integer number (17467707).

Almost surely, 2^2722690880 is an apocalyptic number.

2722690880 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 2722690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401862164).

2722690880 is an abundant number, since it is smaller than the sum of its proper divisors (6081033448).

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

2722690880 is a wasteful number, since it uses less digits than its factorization.

2722690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 2722690880 is about 52179.4104987782. The cubic root of 2722690880 is about 1396.3665783342.

The spelling of 2722690880 in words is "two billion, seven hundred twenty-two million, six hundred ninety thousand, eight hundred eighty".