2082897440 has 96 divisors (see below), whose sum is σ = 5470488576. Its totient is φ = 744238080.

The previous prime is 2082897413. The next prime is 2082897461. The reversal of 2082897440 is 447982802.

It is a junction number, because it is equal to n+sod(n) for n = 2082897391 and 2082897400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48329 + ... + 80631.

It is an arithmetic number, because the mean of its divisors is an integer number (56984256).

Almost surely, 2^2082897440 is an apocalyptic number.

2082897440 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 2082897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735244288).

2082897440 is an abundant number, since it is smaller than the sum of its proper divisors (3387591136).

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

2082897440 is a wasteful number, since it uses less digits than its factorization.

2082897440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32362 (or 32354 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2082897440 is about 45638.7712367456. The cubic root of 2082897440 is about 1277.0933066635.

The spelling of 2082897440 in words is "two billion, eighty-two million, eight hundred ninety-seven thousand, four hundred forty".