2110222000 has 80 divisors (see below), whose sum is σ = 5112735264. Its totient is φ = 842400000.

The previous prime is 2110221959. The next prime is 2110222001. The reversal of 2110222000 is 2220112.

2110222000 = T₃₃₃ + T₃₃₄ + ... + T₂₃₃₂.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2110222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621350 + ... + 1622650.

Almost surely, 2^2110222000 is an apocalyptic number.

2110222000 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 2110222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556367632).

2110222000 is an abundant number, since it is smaller than the sum of its proper divisors (3002513264).

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

2110222000 is a wasteful number, since it uses less digits than its factorization.

2110222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2110222000 is about 45937.1527197757. The cubic root of 2110222000 is about 1282.6535932891.

Adding to 2110222000 its reverse (2220112), we get a palindrome (2112442112).

The spelling of 2110222000 in words is "two billion, one hundred ten million, two hundred twenty-two thousand".