2067766848 has 336 divisors, whose sum is σ = 7269260544. Its totient is φ = 548536320.

The previous prime is 2067766823. The next prime is 2067766849. The reversal of 2067766848 is 8486677602.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2067766794 and 2067766803.

It is not an unprimeable number, because it can be changed into a prime (2067766849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6648613 + ... + 6648923.

It is an arithmetic number, because the mean of its divisors is an integer number (21634704).

Almost surely, 2^2067766848 is an apocalyptic number.

2067766848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634630272).

2067766848 is an abundant number, since it is smaller than the sum of its proper divisors (5201493696).

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

2067766848 is a wasteful number, since it uses less digits than its factorization.

2067766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 2067766848 is about 45472.7044280412. The cubic root of 2067766848 is about 1273.9934330114.

The spelling of 2067766848 in words is "two billion, sixty-seven million, seven hundred sixty-six thousand, eight hundred forty-eight".