2067115680 has 384 divisors, whose sum is σ = 8757020160. Its totient is φ = 444579840.

The previous prime is 2067115657. The next prime is 2067115693. The reversal of 2067115680 is 865117602.

2067115680 is a `hidden beast` number, since 20 + 6 + 71 + 1 + 568 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512070 + ... + 516090.

It is an arithmetic number, because the mean of its divisors is an integer number (22804740).

Almost surely, 2^2067115680 is an apocalyptic number.

2067115680 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 2067115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378510080).

2067115680 is an abundant number, since it is smaller than the sum of its proper divisors (6689904480).

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

2067115680 is a wasteful number, since it uses less digits than its factorization.

2067115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2067115680 is about 45465.5438766545. The cubic root of 2067115680 is about 1273.8596863313.

The spelling of 2067115680 in words is "two billion, sixty-seven million, one hundred fifteen thousand, six hundred eighty".