1982493630 has 256 divisors, whose sum is σ = 6083481600. Its totient is φ = 461054592.

The previous prime is 1982493599. The next prime is 1982493637. The reversal of 1982493630 is 363942891.

It is a happy number.

1982493630 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 4 + 9 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982493637) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5401707 + ... + 5402073.

It is an arithmetic number, because the mean of its divisors is an integer number (23763600).

Almost surely, 2^1982493630 is an apocalyptic number.

1982493630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982493630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041740800).

1982493630 is an abundant number, since it is smaller than the sum of its proper divisors (4100987970).

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

1982493630 is a wasteful number, since it uses less digits than its factorization.

1982493630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1982493630 is about 44525.2021893219. The cubic root of 1982493630 is about 1256.2341642023.

The spelling of 1982493630 in words is "one billion, nine hundred eighty-two million, four hundred ninety-three thousand, six hundred thirty".