2017540668960 has 768 divisors, whose sum is σ = 7912200683520. Its totient is φ = 477497180160.

The previous prime is 2017540668931. The next prime is 2017540668961. The reversal of 2017540668960 is 698660457102.

2017540668960 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 540 + 6 + 6 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2017540668897 and 2017540668906.

It is not an unprimeable number, because it can be changed into a prime (2017540668961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119919109 + ... + 119935931.

It is an arithmetic number, because the mean of its divisors is an integer number (10302344640).

Almost surely, 2^{2017540668960} is an apocalyptic number.

2017540668960 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 2017540668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956100341760).

2017540668960 is an abundant number, since it is smaller than the sum of its proper divisors (5894660014560).

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

2017540668960 is a wasteful number, since it uses less digits than its factorization.

2017540668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16958 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2017540668960 in words is "two trillion, seventeen billion, five hundred forty million, six hundred sixty-eight thousand, nine hundred sixty".