2001890100 has 432 divisors, whose sum is σ = 7295533056. Its totient is φ = 421344000.

The previous prime is 2001890089. The next prime is 2001890113. The reversal of 2001890100 is 10981002.

2001890100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10481005 + ... + 10481195.

It is an arithmetic number, because the mean of its divisors is an integer number (16887808).

Almost surely, 2^2001890100 is an apocalyptic number.

2001890100 is a gapful number since it is divisible by the number (20) 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 2001890100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647766528).

2001890100 is an abundant number, since it is smaller than the sum of its proper divisors (5293642956).

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

2001890100 is a wasteful number, since it uses less digits than its factorization.

2001890100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2001890100 is about 44742.4865200851. The cubic root of 2001890100 is about 1260.3178210610.

The spelling of 2001890100 in words is "two billion, one million, eight hundred ninety thousand, one hundred".