2722344810640 has 120 divisors (see below), whose sum is σ = 7929203357880. Its totient is φ = 861577242624.

The previous prime is 2722344810593. The next prime is 2722344810667. The reversal of 2722344810640 is 460184432272.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 356260959376 + 2366083851264 = 596876^2 + 1538208^2 .

It is a super-2 number, since 2×2722344810640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26659645 + ... + 26761564.

It is an arithmetic number, because the mean of its divisors is an integer number (66076694649).

Almost surely, 2^{2722344810640} is an apocalyptic number.

2722344810640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2722344810640 is an abundant number, since it is smaller than the sum of its proper divisors (5206858547240).

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

2722344810640 is a wasteful number, since it uses less digits than its factorization.

2722344810640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53421249 (or 53421236 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 2722344810640 in words is "two trillion, seven hundred twenty-two billion, three hundred forty-four million, eight hundred ten thousand, six hundred forty".