2067865920 has 168 divisors, whose sum is σ = 7184029320. Its totient is φ = 545894400.

The previous prime is 2067865889. The next prime is 2067865927. The reversal of 2067865920 is 295687602.

It can be written as a sum of positive squares in 4 ways, for example, as 337971456 + 1729894464 = 18384^2 + 41592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067865927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 287326 + ... + 294434.

Almost surely, 2^2067865920 is an apocalyptic number.

2067865920 is a gapful number since it is divisible by the number (20) 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 2067865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592014660).

2067865920 is an abundant number, since it is smaller than the sum of its proper divisors (5116163400).

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

2067865920 is a wasteful number, since it uses less digits than its factorization.

2067865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2067865920 is about 45473.7937717978. The cubic root of 2067865920 is about 1274.0137794481.

The spelling of 2067865920 in words is "two billion, sixty-seven million, eight hundred sixty-five thousand, nine hundred twenty".