2002111000 has 64 divisors (see below), whose sum is σ = 4709184480. Its totient is φ = 796700800.

The previous prime is 2002110953. The next prime is 2002111039. The reversal of 2002111000 is 1112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191919 + ... + 202081.

Almost surely, 2^2002111000 is an apocalyptic number.

2002111000 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 2002111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354592240).

2002111000 is an abundant number, since it is smaller than the sum of its proper divisors (2707073480).

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

2002111000 is a wasteful number, since it uses less digits than its factorization.

2002111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2002111000 is about 44744.9550228850. The cubic root of 2002111000 is about 1260.3641762475.

Adding to 2002111000 its reverse (1112002), we get a palindrome (2003223002).

The spelling of 2002111000 in words is "two billion, two million, one hundred eleven thousand".