2137667312 has 60 divisors (see below), whose sum is σ = 4820347728. Its totient is φ = 914496000.

The previous prime is 2137667297. The next prime is 2137667321.

2137667312 is nontrivially palindromic in base 10.

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 11 ways as a sum of consecutive naturals, for example, 437 + ... + 65387.

Almost surely, 2^2137667312 is an apocalyptic number.

2137667312 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 2137667312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410173864).

2137667312 is an abundant number, since it is smaller than the sum of its proper divisors (2682680416).

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

2137667312 is a wasteful number, since it uses less digits than its factorization.

2137667312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64998 (or 64981 counting only the distinct ones).

The product of its digits is 63504, while the sum is 38.

The square root of 2137667312 is about 46234.9144262212. The cubic root of 2137667312 is about 1288.1903419686.

It can be divided in two parts, 21376 and 67312, that added together give a palindrome (88688).

The spelling of 2137667312 in words is "two billion, one hundred thirty-seven million, six hundred sixty-seven thousand, three hundred twelve".