1982349600 has 576 divisors, whose sum is σ = 8531453952. Its totient is φ = 387072000.

The previous prime is 1982349587. The next prime is 1982349647. The reversal of 1982349600 is 69432891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3141285 + ... + 3141915.

It is an arithmetic number, because the mean of its divisors is an integer number (14811552).

Almost surely, 2^1982349600 is an apocalyptic number.

1982349600 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 1982349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265726976).

1982349600 is an abundant number, since it is smaller than the sum of its proper divisors (6549104352).

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

1982349600 is a wasteful number, since it uses less digits than its factorization.

1982349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1982349600 is about 44523.5847613374. The cubic root of 1982349600 is about 1256.2037412733.

The spelling of 1982349600 in words is "one billion, nine hundred eighty-two million, three hundred forty-nine thousand, six hundred".