2042624016 has 60 divisors (see below), whose sum is σ = 5740525440. Its totient is φ = 678014400.

The previous prime is 2042623949. The next prime is 2042624029. The reversal of 2042624016 is 6104262402.

2042624016 is a `hidden beast` number, since 20 + 4 + 2 + 624 + 0 + 16 = 666.

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, 4741 + ... + 64091.

It is an arithmetic number, because the mean of its divisors is an integer number (95675424).

Almost surely, 2^2042624016 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 2042624016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870262720).

2042624016 is an abundant number, since it is smaller than the sum of its proper divisors (3697901424).

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

2042624016 is a wasteful number, since it uses less digits than its factorization.

2042624016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59604 (or 59595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2042624016 is about 45195.3981728229. The cubic root of 2042624016 is about 1268.8086904475.

Adding to 2042624016 its reverse (6104262402), we get a palindrome (8146886418).

The spelling of 2042624016 in words is "two billion, forty-two million, six hundred twenty-four thousand, sixteen".