1992988800 has 576 divisors, whose sum is σ = 8079795360. Its totient is φ = 481075200.

The previous prime is 1992988759. The next prime is 1992988813. The reversal of 1992988800 is 88892991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8553484 + ... + 8553716.

Almost surely, 2^1992988800 is an apocalyptic number.

1992988800 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 1992988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039897680).

1992988800 is an abundant number, since it is smaller than the sum of its proper divisors (6086806560).

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

1992988800 is a wasteful number, since it uses less digits than its factorization.

1992988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 1992988800 is about 44642.9031314049. The cubic root of 1992988800 is about 1258.4470664077.

The spelling of 1992988800 in words is "one billion, nine hundred ninety-two million, nine hundred eighty-eight thousand, eight hundred".