2082338040 has 128 divisors (see below), whose sum is σ = 6503846400. Its totient is φ = 532707840.

The previous prime is 2082338039. The next prime is 2082338057. The reversal of 2082338040 is 408332802.

It is a super-2 number, since 2×2082338040² = 8672263425662083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2082337989 and 2082338007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565405 + ... + 569075.

It is an arithmetic number, because the mean of its divisors is an integer number (50811300).

Almost surely, 2^2082338040 is an apocalyptic number.

2082338040 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 2082338040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251923200).

2082338040 is an abundant number, since it is smaller than the sum of its proper divisors (4421508360).

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

2082338040 is a wasteful number, since it uses less digits than its factorization.

2082338040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2082338040 is about 45632.6422640636. The cubic root of 2082338040 is about 1276.9789675467.

The spelling of 2082338040 in words is "two billion, eighty-two million, three hundred thirty-eight thousand, forty".