2131166016 has 420 divisors, whose sum is σ = 7547104032. Its totient is φ = 573737472.

The previous prime is 2131166003. The next prime is 2131166029. The reversal of 2131166016 is 6106611312.

2131166016 is a `hidden beast` number, since 21 + 31 + 1 + 6 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2131166003) and next prime (2131166029).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31808415 + ... + 31808481.

Almost surely, 2^2131166016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773552016).

2131166016 is an abundant number, since it is smaller than the sum of its proper divisors (5415938016).

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

2131166016 is an equidigital number, since it uses as much as digits as its factorization.

2131166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2131166016 is about 46164.5536748705. The cubic root of 2131166016 is about 1286.8830897039.

Adding to 2131166016 its reverse (6106611312), we get a palindrome (8237777328).

The spelling of 2131166016 in words is "two billion, one hundred thirty-one million, one hundred sixty-six thousand, sixteen".