2145638016 has 96 divisors (see below), whose sum is σ = 6266676000. Its totient is φ = 704512512.

The previous prime is 2145638009. The next prime is 2145638021. The reversal of 2145638016 is 6108365412.

It is a happy number.

2145638016 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 638 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63285 + ... + 91083.

It is an arithmetic number, because the mean of its divisors is an integer number (65277875).

Almost surely, 2^2145638016 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 2145638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133338000).

2145638016 is an abundant number, since it is smaller than the sum of its proper divisors (4121037984).

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

2145638016 is a wasteful number, since it uses less digits than its factorization.

2145638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27886 (or 27871 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2145638016 is about 46321.0321128534. The cubic root of 2145638016 is about 1289.7894446324.

The spelling of 2145638016 in words is "two billion, one hundred forty-five million, six hundred thirty-eight thousand, sixteen".