2468726008320 has 640 divisors, whose sum is σ = 9817449143040. Its totient is φ = 519941652480.

The previous prime is 2468726008289. The next prime is 2468726008339. The reversal of 2468726008320 is 238006278642.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2468726008320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18603966 + ... + 18736194.

It is an arithmetic number, because the mean of its divisors is an integer number (15339764286).

Almost surely, 2^{2468726008320} is an apocalyptic number.

2468726008320 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 2468726008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908724571520).

2468726008320 is an abundant number, since it is smaller than the sum of its proper divisors (7348723134720).

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

2468726008320 is a wasteful number, since it uses less digits than its factorization.

2468726008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132296 (or 132280 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 2468726008320 in words is "two trillion, four hundred sixty-eight billion, seven hundred twenty-six million, eight thousand, three hundred twenty".