2067581820 has 96 divisors (see below), whose sum is σ = 6165730368. Its totient is φ = 515878912.

The previous prime is 2067581809. The next prime is 2067581821. The reversal of 2067581820 is 281857602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067581821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170602 + ... + 182318.

It is an arithmetic number, because the mean of its divisors is an integer number (64226358).

Almost surely, 2^2067581820 is an apocalyptic number.

2067581820 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 2067581820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082865184).

2067581820 is an abundant number, since it is smaller than the sum of its proper divisors (4098148548).

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

2067581820 is a wasteful number, since it uses less digits than its factorization.

2067581820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11919 (or 11917 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2067581820 is about 45470.6698873021. The cubic root of 2067581820 is about 1273.9554320333.

The spelling of 2067581820 in words is "two billion, sixty-seven million, five hundred eighty-one thousand, eight hundred twenty".