1890988000 has 144 divisors (see below), whose sum is σ = 5108240592. Its totient is φ = 687456000.

The previous prime is 1890987947. The next prime is 1890988009. The reversal of 1890988000 is 8890981.

1890988000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1890988000² = 7151671232288000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890988009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482047 + ... + 485953.

It is an arithmetic number, because the mean of its divisors is an integer number (35473893).

Almost surely, 2^1890988000 is an apocalyptic number.

1890988000 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 1890988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554120296).

1890988000 is an abundant number, since it is smaller than the sum of its proper divisors (3217252592).

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

1890988000 is a wasteful number, since it uses less digits than its factorization.

1890988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The square root of 1890988000 is about 43485.4918334840. The cubic root of 1890988000 is about 1236.6009931470.

The spelling of 1890988000 in words is "one billion, eight hundred ninety million, nine hundred eighty-eight thousand".