2714482212480 has 640 divisors, whose sum is σ = 10210396394880. Its totient is φ = 685886496768.

The previous prime is 2714482212443. The next prime is 2714482212517. The reversal of 2714482212480 is 842122844172.

2714482212480 is a `hidden beast` number, since 2 + 7 + 1 + 448 + 2 + 2 + 124 + 80 = 666.

2714482212480 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 (2714482212443) and next prime (2714482212517).

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127567602 + ... + 127588878.

It is an arithmetic number, because the mean of its divisors is an integer number (15953744367).

Almost surely, 2^{2714482212480} is an apocalyptic number.

2714482212480 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 2714482212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105198197440).

2714482212480 is an abundant number, since it is smaller than the sum of its proper divisors (7495914182400).

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

2714482212480 is a wasteful number, since it uses less digits than its factorization.

2714482212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21438 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 2714482212480 in words is "two trillion, seven hundred fourteen billion, four hundred eighty-two million, two hundred twelve thousand, four hundred eighty".