2210022000 has 240 divisors, whose sum is σ = 7853470560. Its totient is φ = 579072000.

The previous prime is 2210021969. The next prime is 2210022011. The reversal of 2210022000 is 2200122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060960 + ... + 1063040.

It is an arithmetic number, because the mean of its divisors is an integer number (32722794).

Almost surely, 2^2210022000 is an apocalyptic number.

2210022000 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 2210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926735280).

2210022000 is an abundant number, since it is smaller than the sum of its proper divisors (5643448560).

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

2210022000 is a wasteful number, since it uses less digits than its factorization.

2210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2210022000 is about 47010.8710831867. The cubic root of 2210022000 is about 1302.5633839253.

Adding to 2210022000 its reverse (2200122), we get a palindrome (2212222122).

It can be divided in two parts, 22100 and 22000, that added together give a square (44100 = 210²).

The spelling of 2210022000 in words is "two billion, two hundred ten million, twenty-two thousand".