2131688000 has 224 divisors, whose sum is σ = 5769254400. Its totient is φ = 775526400.

The previous prime is 2131687979. The next prime is 2131688003. The reversal of 2131688000 is 8861312.

It is not an unprimeable number, because it can be changed into a prime (2131688003) 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, 10711901 + ... + 10712099.

It is an arithmetic number, because the mean of its divisors is an integer number (25755600).

Almost surely, 2^2131688000 is an apocalyptic number.

2131688000 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 2131688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884627200).

2131688000 is an abundant number, since it is smaller than the sum of its proper divisors (3637566400).

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

2131688000 is a wasteful number, since it uses less digits than its factorization.

2131688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2131688000 is about 46170.2068438078. The cubic root of 2131688000 is about 1286.9881460507.

The spelling of 2131688000 in words is "two billion, one hundred thirty-one million, six hundred eighty-eight thousand".