1990872000 has 448 divisors, whose sum is σ = 7877251200. Its totient is φ = 489369600.

The previous prime is 1990871977. The next prime is 1990872001. The reversal of 1990872000 is 2780991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990872001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807646 + ... + 2808354.

It is an arithmetic number, because the mean of its divisors is an integer number (17583150).

Almost surely, 2^1990872000 is an apocalyptic number.

1990872000 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 1990872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938625600).

1990872000 is an abundant number, since it is smaller than the sum of its proper divisors (5886379200).

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

1990872000 is a wasteful number, since it uses less digits than its factorization.

1990872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1990872000 is about 44619.1886972410. The cubic root of 1990872000 is about 1258.0013665573.

The spelling of 1990872000 in words is "one billion, nine hundred ninety million, eight hundred seventy-two thousand".