2110211000 has 128 divisors (see below), whose sum is σ = 5065968960. Its totient is φ = 822528000.

The previous prime is 2110210987. The next prime is 2110211009. The reversal of 2110211000 is 1120112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000895 + ... + 10001105.

Almost surely, 2^2110211000 is an apocalyptic number.

2110211000 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 2110211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532984480).

2110211000 is an abundant number, since it is smaller than the sum of its proper divisors (2955757960).

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

2110211000 is a wasteful number, since it uses less digits than its factorization.

2110211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110211000 is about 45937.0329908234. The cubic root of 2110211000 is about 1282.6513645798.

Adding to 2110211000 its reverse (1120112), we get a palindrome (2111331112).

It can be divided in two parts, 2110 and 211000, that multiplied together give a square (445210000 = 21100²).

The spelling of 2110211000 in words is "two billion, one hundred ten million, two hundred eleven thousand".