2640418560 has 432 divisors, whose sum is σ = 10218315744. Its totient is φ = 648953856.

The previous prime is 2640418559. The next prime is 2640418591. The reversal of 2640418560 is 658140462.

2640418560 is a `hidden beast` number, since 2 + 640 + 4 + 1 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043194 + ... + 4043846.

Almost surely, 2^2640418560 is an apocalyptic number.

2640418560 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 2640418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109157872).

2640418560 is an abundant number, since it is smaller than the sum of its proper divisors (7577897184).

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

2640418560 is an equidigital number, since it uses as much as digits as its factorization.

2640418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2640418560 is about 51385.0032597060. The cubic root of 2640418560 is about 1382.1576832219.

The spelling of 2640418560 in words is "two billion, six hundred forty million, four hundred eighteen thousand, five hundred sixty".