2640386105280 has 2016 divisors, whose sum is σ = 11942584842240. Its totient is φ = 529158389760.

The previous prime is 2640386105267. The next prime is 2640386105303. The reversal of 2640386105280 is 825016830462.

2640386105280 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 3 + 8 + 610 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5512288081 + ... + 5512288559.

Almost surely, 2^{2640386105280} is an apocalyptic number.

2640386105280 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 2640386105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971292421120).

2640386105280 is an abundant number, since it is smaller than the sum of its proper divisors (9302198736960).

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

2640386105280 is a wasteful number, since it uses less digits than its factorization.

2640386105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2640386105280 in words is "two trillion, six hundred forty billion, three hundred eighty-six million, one hundred five thousand, two hundred eighty".