2117757312 has 320 divisors, whose sum is σ = 7108992000. Its totient is φ = 620006400.

The previous prime is 2117757293. The next prime is 2117757319. The reversal of 2117757312 is 2137577112.

It is a happy number.

2117757312 is a `hidden beast` number, since 2 + 1 + 1 + 77 + 573 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117757319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3535189 + ... + 3535787.

It is an arithmetic number, because the mean of its divisors is an integer number (22215600).

Almost surely, 2^2117757312 is an apocalyptic number.

2117757312 is a gapful number since it is divisible by the number (22) 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 2117757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554496000).

2117757312 is an abundant number, since it is smaller than the sum of its proper divisors (4991234688).

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

2117757312 is a wasteful number, since it uses less digits than its factorization.

2117757312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 646 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 2117757312 is about 46019.0972532057. The cubic root of 2117757312 is about 1284.1785060584.

The spelling of 2117757312 in words is "two billion, one hundred seventeen million, seven hundred fifty-seven thousand, three hundred twelve".