2082197460 has 288 divisors, whose sum is σ = 7275405312. Its totient is φ = 435352320.

The previous prime is 2082197449. The next prime is 2082197473. The reversal of 2082197460 is 647912802.

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 95 ways as a sum of consecutive naturals, for example, 4699999 + ... + 4700441.

It is an arithmetic number, because the mean of its divisors is an integer number (25261824).

Almost surely, 2^2082197460 is an apocalyptic number.

2082197460 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 2082197460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637702656).

2082197460 is an abundant number, since it is smaller than the sum of its proper divisors (5193207852).

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

2082197460 is a wasteful number, since it uses less digits than its factorization.

2082197460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2082197460 is about 45631.1018933359. The cubic root of 2082197460 is about 1276.9502303388.

The spelling of 2082197460 in words is "two billion, eighty-two million, one hundred ninety-seven thousand, four hundred sixty".