2640384794544 has 320 divisors, whose sum is σ = 8226244915200. Its totient is φ = 713884114944.

The previous prime is 2640384794513. The next prime is 2640384794599. The reversal of 2640384794544 is 4454974830462.

2640384794544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2640384794544² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105446794 + ... + 105471830.

It is an arithmetic number, because the mean of its divisors is an integer number (25707015360).

Almost surely, 2^{2640384794544} is an apocalyptic number.

2640384794544 is a gapful number since it is divisible by the number (24) 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 2640384794544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113122457600).

2640384794544 is an abundant number, since it is smaller than the sum of its proper divisors (5585860120656).

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

2640384794544 is a wasteful number, since it uses less digits than its factorization.

2640384794544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300 (or 25294 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 2640384794544 in words is "two trillion, six hundred forty billion, three hundred eighty-four million, seven hundred ninety-four thousand, five hundred forty-four".