1982029824 has 280 divisors, whose sum is σ = 6184910160. Its totient is φ = 631701504.

The previous prime is 1982029793. The next prime is 1982029867. The reversal of 1982029824 is 4289202891.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1982029824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19242957 + ... + 19243059.

Almost surely, 2^1982029824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092455080).

1982029824 is an abundant number, since it is smaller than the sum of its proper divisors (4202880336).

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

1982029824 is an equidigital number, since it uses as much as digits as its factorization.

1982029824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1982029824 is about 44519.9935309968. The cubic root of 1982029824 is about 1256.1361908928.

The spelling of 1982029824 in words is "one billion, nine hundred eighty-two million, twenty-nine thousand, eight hundred twenty-four".