1980048000 has 512 divisors, whose sum is σ = 7698862080. Its totient is φ = 440832000.

The previous prime is 1980047959. The next prime is 1980048011. The reversal of 1980048000 is 8400891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23855959 + ... + 23856041.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^1980048000 is an apocalyptic number.

1980048000 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 1980048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849431040).

1980048000 is an abundant number, since it is smaller than the sum of its proper divisors (5718814080).

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

1980048000 is an equidigital number, since it uses as much as digits as its factorization.

1980048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1980048000 is about 44497.7302791951. The cubic root of 1980048000 is about 1255.7173826911.

Adding to 1980048000 its reverse (8400891), we get a palindrome (1988448891).

The spelling of 1980048000 in words is "one billion, nine hundred eighty million, forty-eight thousand".