2081919840 has 576 divisors, whose sum is σ = 8976925440. Its totient is φ = 398684160.

The previous prime is 2081919817. The next prime is 2081919859. The reversal of 2081919840 is 489191802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2081919792 and 2081919801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3363051 + ... + 3363669.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^2081919840 is an apocalyptic number.

2081919840 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 2081919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488462720).

2081919840 is an abundant number, since it is smaller than the sum of its proper divisors (6895005600).

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

2081919840 is a wasteful number, since it uses less digits than its factorization.

2081919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 2081919840 is about 45628.0597878104. The cubic root of 2081919840 is about 1276.8934757664.

The spelling of 2081919840 in words is "two billion, eighty-one million, nine hundred nineteen thousand, eight hundred forty".