2640489965568 has 1152 divisors, whose sum is σ = 9736993244160. Its totient is φ = 670771445760.

The previous prime is 2640489965563. The next prime is 2640489965573. The reversal of 2640489965568 is 8655699840462.

2640489965568 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 489 + 96 + 5 + 56 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2640489965563) and next prime (2640489965573).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2640489965496 and 2640489965505.

It is not an unprimeable number, because it can be changed into a prime (2640489965563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9743505273 + ... + 9743505543.

It is an arithmetic number, because the mean of its divisors is an integer number (8452251080).

Almost surely, 2^{2640489965568} is an apocalyptic number.

2640489965568 is a gapful number since it is divisible by the number (28) 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 2640489965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868496622080).

2640489965568 is an abundant number, since it is smaller than the sum of its proper divisors (7096503278592).

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

2640489965568 is a wasteful number, since it uses less digits than its factorization.

2640489965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 2640489965568 in words is "two trillion, six hundred forty billion, four hundred eighty-nine million, nine hundred sixty-five thousand, five hundred sixty-eight".