2063742016 has 84 divisors (see below), whose sum is σ = 4778463900. Its totient is φ = 881750016.

The previous prime is 2063742001. The next prime is 2063742029. The reversal of 2063742016 is 6102473602.

It can be written as a sum of positive squares in 2 ways, for example, as 1962135616 + 101606400 = 44296^2 + 10080^2 .

It is a super-2 number, since 2×2063742016² = 8518062217207488512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281820 + ... + 1283428.

It is an arithmetic number, because the mean of its divisors is an integer number (56886475).

Almost surely, 2^2063742016 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 2063742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389231950).

2063742016 is an abundant number, since it is smaller than the sum of its proper divisors (2714721884).

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

2063742016 is a wasteful number, since it uses less digits than its factorization.

2063742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2063742016 is about 45428.4273995920. The cubic root of 2063742016 is about 1273.1663023567.

The spelling of 2063742016 in words is "two billion, sixty-three million, seven hundred forty-two thousand, sixteen".