1890000000 has 512 divisors, whose sum is σ = 7968729600. Its totient is φ = 432000000.

The previous prime is 1889999929. The next prime is 1890000019. The reversal of 1890000000 is 981.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 269999997 + ... + 270000003.

It is an arithmetic number, because the mean of its divisors is an integer number (15563925).

Almost surely, 2^1890000000 is an apocalyptic number.

1890000000 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 1890000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984364800).

1890000000 is an abundant number, since it is smaller than the sum of its proper divisors (6078729600).

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

1890000000 is an frugal number, since it uses more digits than its factorization.

1890000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1890000000 is about 43474.1302385683. The cubic root of 1890000000 is about 1236.3855899426.

Adding to 1890000000 its reverse (981), we get a palindrome (1890000981).

The spelling of 1890000000 in words is "one billion, eight hundred ninety million", and thus it is an aban number.