2067415680 has 256 divisors, whose sum is σ = 7257340800. Its totient is φ = 500572160.

The previous prime is 2067415673. The next prime is 2067415681. The reversal of 2067415680 is 865147602.

It is not an unprimeable number, because it can be changed into a prime (2067415681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2555116 + ... + 2555924.

Almost surely, 2^2067415680 is an apocalyptic number.

2067415680 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 2067415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628670400).

2067415680 is an abundant number, since it is smaller than the sum of its proper divisors (5189925120).

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

2067415680 is an equidigital number, since it uses as much as digits as its factorization.

2067415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2067415680 is about 45468.8429586679. The cubic root of 2067415680 is about 1273.9213083333.

The spelling of 2067415680 in words is "two billion, sixty-seven million, four hundred fifteen thousand, six hundred eighty".