2640911007744 has 315 divisors, whose sum is σ = 7976079718243. Its totient is φ = 842029596672.

The previous prime is 2640911007733. The next prime is 2640911007769. The reversal of 2640911007744 is 4477001190462.

The square root of 2640911007744 is 1625088.

It is a perfect power (a square), and thus also a powerful number.

2640911007744 is a `hidden beast` number, since 26 + 409 + 110 + 0 + 77 + 44 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2640911007744.

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 14 ways as a sum of consecutive naturals, for example, 114822217717 + ... + 114822217739.

Almost surely, 2^{2640911007744} is an apocalyptic number.

2640911007744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2640911007744 is the 1625088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640911007744

2640911007744 is an abundant number, since it is smaller than the sum of its proper divisors (5335168710499).

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

2640911007744 is an frugal number, since it uses more digits than its factorization.

2640911007744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2640911007744 in words is "two trillion, six hundred forty billion, nine hundred eleven million, seven thousand, seven hundred forty-four".