2067653952 has 392 divisors, whose sum is σ = 7586854016. Its totient is φ = 544195584.

The previous prime is 2067653927. The next prime is 2067653953. The reversal of 2067653952 is 2593567602.

2067653952 is a `hidden beast` number, since 2 + 0 + 67 + 6 + 539 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2067653898 and 2067653907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067653953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4245453 + ... + 4245939.

Almost surely, 2^2067653952 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 2067653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793427008).

2067653952 is an abundant number, since it is smaller than the sum of its proper divisors (5519200064).

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

2067653952 is an equidigital number, since it uses as much as digits as its factorization.

2067653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2067653952 is about 45471.4630510170. The cubic root of 2067653952 is about 1273.9702467448.

The spelling of 2067653952 in words is "two billion, sixty-seven million, six hundred fifty-three thousand, nine hundred fifty-two".