2064278016 has 120 divisors (see below), whose sum is σ = 5979443184. Its totient is φ = 685578240.

The previous prime is 2064277961. The next prime is 2064278053. The reversal of 2064278016 is 6108724602.

2064278016 is a `hidden beast` number, since 2 + 0 + 642 + 7 + 8 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×2064278016² = 8522487454681792512, which contains 22 as substring.

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

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, 1598331 + ... + 1599621.

Almost surely, 2^2064278016 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 2064278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989721592).

2064278016 is an abundant number, since it is smaller than the sum of its proper divisors (3915165168).

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

2064278016 is a wasteful number, since it uses less digits than its factorization.

2064278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2064278016 is about 45434.3264063637. The cubic root of 2064278016 is about 1273.2765160788.

The spelling of 2064278016 in words is "two billion, sixty-four million, two hundred seventy-eight thousand, sixteen".