2137117312 has 64 divisors (see below), whose sum is σ = 4846599360. Its totient is φ = 929167360.

The previous prime is 2137117309. The next prime is 2137117331.

2137117312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613 + ... + 65380.

It is an arithmetic number, because the mean of its divisors is an integer number (75728115).

Almost surely, 2^2137117312 is an apocalyptic number.

2137117312 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 2137117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423299680).

2137117312 is an abundant number, since it is smaller than the sum of its proper divisors (2709482048).

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

2137117312 is a wasteful number, since it uses less digits than its factorization.

2137117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66041 (or 66029 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 2137117312 is about 46228.9661575943. The cubic root of 2137117312 is about 1288.0798530794.

It can be divided in two parts, 21371 and 17312, that added together give a palindrome (38683).

The spelling of 2137117312 in words is "two billion, one hundred thirty-seven million, one hundred seventeen thousand, three hundred twelve".