2117710560 has 192 divisors, whose sum is σ = 7652316672. Its totient is φ = 482236416.

The previous prime is 2117710547. The next prime is 2117710561. The reversal of 2117710560 is 650177112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117710561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030494 + ... + 1032546.

It is an arithmetic number, because the mean of its divisors is an integer number (39855816).

Almost surely, 2^2117710560 is an apocalyptic number.

2117710560 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 2117710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826158336).

2117710560 is an abundant number, since it is smaller than the sum of its proper divisors (5534606112).

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

2117710560 is a wasteful number, since it uses less digits than its factorization.

2117710560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 2117710560 is about 46018.5892873739. The cubic root of 2117710560 is about 1284.1690560685.

Adding to 2117710560 its reverse (650177112), we get a palindrome (2767887672).

The spelling of 2117710560 in words is "two billion, one hundred seventeen million, seven hundred ten thousand, five hundred sixty".