2081763040 has 120 divisors (see below), whose sum is σ = 5738576760. Its totient is φ = 713615616.

The previous prime is 2081763031. The next prime is 2081763059. The reversal of 2081763040 is 403671802.

It is a junction number, because it is equal to n+sod(n) for n = 2081762993 and 2081763011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 381451 + ... + 386869.

It is an arithmetic number, because the mean of its divisors is an integer number (47821473).

Almost surely, 2^2081763040 is an apocalyptic number.

2081763040 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 2081763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869288380).

2081763040 is an abundant number, since it is smaller than the sum of its proper divisors (3656813720).

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

2081763040 is an frugal number, since it uses more digits than its factorization.

2081763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2081763040 is about 45626.3415145243. The cubic root of 2081763040 is about 1276.8614185085.

The spelling of 2081763040 in words is "two billion, eighty-one million, seven hundred sixty-three thousand, forty".