1981824000 has 352 divisors, whose sum is σ = 7117271616. Its totient is φ = 486604800.

The previous prime is 1981823999. The next prime is 1981824023. The reversal of 1981824000 is 4281891.

1981824000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4991802 + ... + 4992198.

Almost surely, 2^1981824000 is an apocalyptic number.

1981824000 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 1981824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558635808).

1981824000 is an abundant number, since it is smaller than the sum of its proper divisors (5135447616).

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

1981824000 is a wasteful number, since it uses less digits than its factorization.

1981824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1981824000 is about 44517.6818803495. The cubic root of 1981824000 is about 1256.0927082095.

The spelling of 1981824000 in words is "one billion, nine hundred eighty-one million, eight hundred twenty-four thousand".