2117405122560 has 2016 divisors, whose sum is σ = 9397955653632. Its totient is φ = 436988805120.

The previous prime is 2117405122559. The next prime is 2117405122699. The reversal of 2117405122560 is 652215047112.

2117405122560 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 40 + 51 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16672481217 + ... + 16672481343.

It is an arithmetic number, because the mean of its divisors is an integer number (4661684352).

Almost surely, 2^{2117405122560} is an apocalyptic number.

2117405122560 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 2117405122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698977826816).

2117405122560 is an abundant number, since it is smaller than the sum of its proper divisors (7280550531072).

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

2117405122560 is a wasteful number, since it uses less digits than its factorization.

2117405122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 2117405122560 in words is "two trillion, one hundred seventeen billion, four hundred five million, one hundred twenty-two thousand, five hundred sixty".