2640241440000 has 720 divisors, whose sum is σ = 10330646135040. Its totient is φ = 662630400000.

The previous prime is 2640241439993. The next prime is 2640241440043. The reversal of 2640241440000 is 441420462.

It is a happy number.

2640241440000 is a `hidden beast` number, since 2 + 640 + 2 + 4 + 14 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2640241440000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73422025 + ... + 73457975.

It is an arithmetic number, because the mean of its divisors is an integer number (14348119632).

Almost surely, 2^{2640241440000} is an apocalyptic number.

2640241440000 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 2640241440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165323067520).

2640241440000 is an abundant number, since it is smaller than the sum of its proper divisors (7690404695040).

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

2640241440000 is an equidigital number, since it uses as much as digits as its factorization.

2640241440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36013 (or 35978 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2640241440000 its reverse (441420462), we get a palindrome (2640682860462).

The spelling of 2640241440000 in words is "two trillion, six hundred forty billion, two hundred forty-one million, four hundred forty thousand".