2640287314560 has 1024 divisors, whose sum is σ = 10302656716800. Its totient is φ = 561763123200.

The previous prime is 2640287314549. The next prime is 2640287314597. The reversal of 2640287314560 is 654137820462.

It is a super-3 number, since 3×2640287314560³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 4307156814 + ... + 4307157426.

It is an arithmetic number, because the mean of its divisors is an integer number (10061188200).

Almost surely, 2^{2640287314560} is an apocalyptic number.

2640287314560 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 2640287314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151328358400).

2640287314560 is an abundant number, since it is smaller than the sum of its proper divisors (7662369402240).

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

2640287314560 is a wasteful number, since it uses less digits than its factorization.

2640287314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2640287314560 in words is "two trillion, six hundred forty billion, two hundred eighty-seven million, three hundred fourteen thousand, five hundred sixty".