2640056660640 has 2304 divisors, whose sum is σ = 11797831180800. Its totient is φ = 547796680704.

The previous prime is 2640056660639. The next prime is 2640056660641. The reversal of 2640056660640 is 460666500462.

2640056660640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2640056660639) and next prime (2640056660641).

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

It is not an unprimeable number, because it can be changed into a prime (2640056660641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16815647442 + ... + 16815647598.

It is an arithmetic number, because the mean of its divisors is an integer number (5120586450).

Almost surely, 2^{2640056660640} is an apocalyptic number.

2640056660640 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 2640056660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898915590400).

2640056660640 is an abundant number, since it is smaller than the sum of its proper divisors (9157774520160).

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

2640056660640 is a wasteful number, since it uses less digits than its factorization.

2640056660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2640056660640 in words is "two trillion, six hundred forty billion, fifty-six million, six hundred sixty thousand, six hundred forty".