2131606000 has 80 divisors (see below), whose sum is σ = 5216728608. Its totient is φ = 842304000.

The previous prime is 2131605997. The next prime is 2131606007. The reversal of 2131606000 is 6061312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131606007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 159580 + ... + 172420.

Almost surely, 2^2131606000 is an apocalyptic number.

2131606000 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 2131606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608364304).

2131606000 is an abundant number, since it is smaller than the sum of its proper divisors (3085122608).

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

2131606000 is a wasteful number, since it uses less digits than its factorization.

2131606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2131606000 is about 46169.3188167207. The cubic root of 2131606000 is about 1286.9716435761.

Adding to 2131606000 its reverse (6061312), we get a palindrome (2137667312).

The spelling of 2131606000 in words is "two billion, one hundred thirty-one million, six hundred six thousand".