2040042816 has 336 divisors, whose sum is σ = 7037222400. Its totient is φ = 552738816.

The previous prime is 2040042811. The next prime is 2040042817. The reversal of 2040042816 is 6182400402.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2040042816² = 8323549382226419712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2040042816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040042811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8535625 + ... + 8535863.

Almost surely, 2^2040042816 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 2040042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518611200).

2040042816 is an abundant number, since it is smaller than the sum of its proper divisors (4997179584).

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

2040042816 is a wasteful number, since it uses less digits than its factorization.

2040042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2040042816 is about 45166.8331411446. The cubic root of 2040042816 is about 1268.2740138973.

The spelling of 2040042816 in words is "two billion, forty million, forty-two thousand, eight hundred sixteen".