2081767680 has 216 divisors, whose sum is σ = 7582585920. Its totient is φ = 525864960.

The previous prime is 2081767669. The next prime is 2081767693. The reversal of 2081767680 is 867671802.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214125 + ... + 223635.

Almost surely, 2^2081767680 is an apocalyptic number.

2081767680 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 2081767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791292960).

2081767680 is an abundant number, since it is smaller than the sum of its proper divisors (5500818240).

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

2081767680 is a wasteful number, since it uses less digits than its factorization.

2081767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2081767680 is about 45626.3923623159. The cubic root of 2081767680 is about 1276.8623671648.

The spelling of 2081767680 in words is "two billion, eighty-one million, seven hundred sixty-seven thousand, six hundred eighty".