2131161600 has 480 divisors, whose sum is σ = 7793786880. Its totient is φ = 510935040.

The previous prime is 2131161589. The next prime is 2131161611. The reversal of 2131161600 is 61611312.

It is an interprime number because it is at equal distance from previous prime (2131161589) and next prime (2131161611).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16780737 + ... + 16780863.

It is an arithmetic number, because the mean of its divisors is an integer number (16237056).

Almost surely, 2^2131161600 is an apocalyptic number.

2131161600 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 2131161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896893440).

2131161600 is an abundant number, since it is smaller than the sum of its proper divisors (5662625280).

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

2131161600 is a wasteful number, since it uses less digits than its factorization.

2131161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2131161600 is about 46164.5058459419. The cubic root of 2131161600 is about 1286.8822008510.

Adding to 2131161600 its reverse (61611312), we get a palindrome (2192772912).

The spelling of 2131161600 in words is "two billion, one hundred thirty-one million, one hundred sixty-one thousand, six hundred".