2083815240 has 128 divisors (see below), whose sum is σ = 6833151360. Its totient is φ = 505257984.

The previous prime is 2083815221. The next prime is 2083815241. The reversal of 2083815240 is 425183802.

It is not an unprimeable number, because it can be changed into a prime (2083815241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94552 + ... + 114488.

It is an arithmetic number, because the mean of its divisors is an integer number (53383995).

Almost surely, 2^2083815240 is an apocalyptic number.

2083815240 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 2083815240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416575680).

2083815240 is an abundant number, since it is smaller than the sum of its proper divisors (4749336120).

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

2083815240 is a wasteful number, since it uses less digits than its factorization.

2083815240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20031 (or 20027 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2083815240 is about 45648.8251765585. The cubic root of 2083815240 is about 1277.2808569636.

The spelling of 2083815240 in words is "two billion, eighty-three million, eight hundred fifteen thousand, two hundred forty".