2146142016 has 168 divisors, whose sum is σ = 6622002504. Its totient is φ = 662077440.

The previous prime is 2146142003. The next prime is 2146142023. The reversal of 2146142016 is 6102416412.

2146142016 is a `hidden beast` number, since 2 + 14 + 614 + 20 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 2101305600 = 6696^2 + 45840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595516 + ... + 599108.

Almost surely, 2^2146142016 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 2146142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311001252).

2146142016 is an abundant number, since it is smaller than the sum of its proper divisors (4475860488).

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

2146142016 is a wasteful number, since it uses less digits than its factorization.

2146142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2146142016 is about 46326.4720867022. The cubic root of 2146142016 is about 1289.8904251619.

Adding to 2146142016 its reverse (6102416412), we get a palindrome (8248558428).

The spelling of 2146142016 in words is "two billion, one hundred forty-six million, one hundred forty-two thousand, sixteen".