2017263928680 has 4096 divisors, whose sum is σ = 10346434560000. Its totient is φ = 335385722880.

The previous prime is 2017263928679. The next prime is 2017263928723. The reversal of 2017263928680 is 868293627102.

2017263928680 is a `hidden beast` number, since 2 + 0 + 172 + 6 + 392 + 8 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 18507008466 + ... + 18507008574.

It is an arithmetic number, because the mean of its divisors is an integer number (2525985000).

Almost surely, 2^{2017263928680} is an apocalyptic number.

2017263928680 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 2017263928680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173217280000).

2017263928680 is an abundant number, since it is smaller than the sum of its proper divisors (8329170631320).

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

2017263928680 is a wasteful number, since it uses less digits than its factorization.

2017263928680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2017263928680 in words is "two trillion, seventeen billion, two hundred sixty-three million, nine hundred twenty-eight thousand, six hundred eighty".