2082245440 has 84 divisors (see below), whose sum is σ = 5450185188. Its totient is φ = 757166080.

The previous prime is 2082245419. The next prime is 2082245441. The reversal of 2082245440 is 445422802.

It can be written as a sum of positive squares in 2 ways, for example, as 312865344 + 1769380096 = 17688^2 + 42064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11832 + ... + 65608.

It is an arithmetic number, because the mean of its divisors is an integer number (64883157).

Almost surely, 2^2082245440 is an apocalyptic number.

2082245440 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 2082245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725092594).

2082245440 is an abundant number, since it is smaller than the sum of its proper divisors (3367939748).

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

2082245440 is a wasteful number, since it uses less digits than its factorization.

2082245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53816 (or 53795 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 2082245440 is about 45631.6276282142. The cubic root of 2082245440 is about 1276.9600385027.

The spelling of 2082245440 in words is "two billion, eighty-two million, two hundred forty-five thousand, four hundred forty".