1682244000 has 288 divisors, whose sum is σ = 6052947264. Its totient is φ = 442406400.

The previous prime is 1682243999. The next prime is 1682244001. The reversal of 1682244000 is 4422861.

It is an interprime number because it is at equal distance from previous prime (1682243999) and next prime (1682244001).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1682244001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987719 + ... + 2988281.

It is an arithmetic number, because the mean of its divisors is an integer number (21017178).

Almost surely, 2^1682244000 is an apocalyptic number.

1682244000 is a gapful number since it is divisible by the number (10) 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 1682244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026473632).

1682244000 is an abundant number, since it is smaller than the sum of its proper divisors (4370703264).

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

1682244000 is a wasteful number, since it uses less digits than its factorization.

1682244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1682244000 is about 41015.1679260246. The cubic root of 1682244000 is about 1189.3134471640.

Adding to 1682244000 its reverse (4422861), we get a palindrome (1686666861).

The spelling of 1682244000 in words is "one billion, six hundred eighty-two million, two hundred forty-four thousand".