1992884000 has 96 divisors (see below), whose sum is σ = 4936329216. Its totient is φ = 790675200.

The previous prime is 1992883927. The next prime is 1992884009. The reversal of 1992884000 is 4882991.

It is not an unprimeable number, because it can be changed into a prime (1992884009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506039 + ... + 509961.

It is an arithmetic number, because the mean of its divisors is an integer number (51420096).

Almost surely, 2^1992884000 is an apocalyptic number.

1992884000 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 1992884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468164608).

1992884000 is an abundant number, since it is smaller than the sum of its proper divisors (2943445216).

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

1992884000 is a wasteful number, since it uses less digits than its factorization.

1992884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 1992884000 is about 44641.7293571833. The cubic root of 1992884000 is about 1258.4250078184.

The spelling of 1992884000 in words is "one billion, nine hundred ninety-two million, eight hundred eighty-four thousand".