1989290240 has 288 divisors, whose sum is σ = 5827852800. Its totient is φ = 649076736.

The previous prime is 1989290227. The next prime is 1989290249. The reversal of 1989290240 is 420929891.

It is a junction number, because it is equal to n+sod(n) for n = 1989290191 and 1989290200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1989290249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10097822 + ... + 10098018.

It is an arithmetic number, because the mean of its divisors is an integer number (20235600).

Almost surely, 2^1989290240 is an apocalyptic number.

1989290240 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 1989290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913926400).

1989290240 is an abundant number, since it is smaller than the sum of its proper divisors (3838562560).

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

1989290240 is an equidigital number, since it uses as much as digits as its factorization.

1989290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 1989290240 is about 44601.4600657871. The cubic root of 1989290240 is about 1257.6681150208.

The spelling of 1989290240 in words is "one billion, nine hundred eighty-nine million, two hundred ninety thousand, two hundred forty".