2714217340560 has 320 divisors, whose sum is σ = 9667592663040. Its totient is φ = 623006208000.

The previous prime is 2714217340531. The next prime is 2714217340561. The reversal of 2714217340560 is 650437124172.

It is a super-2 number, since 2×2714217340560² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2714217340561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93834900 + ... + 93863820.

It is an arithmetic number, because the mean of its divisors is an integer number (30211227072).

Almost surely, 2^{2714217340560} is an apocalyptic number.

2714217340560 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 2714217340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833796331520).

2714217340560 is an abundant number, since it is smaller than the sum of its proper divisors (6953375322480).

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

2714217340560 is a wasteful number, since it uses less digits than its factorization.

2714217340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30838 (or 30832 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 2714217340560 in words is "two trillion, seven hundred fourteen billion, two hundred seventeen million, three hundred forty thousand, five hundred sixty".