2210144000 has 72 divisors (see below), whose sum is σ = 5505824688. Its totient is φ = 884044800.

The previous prime is 2210143993. The next prime is 2210144029. The reversal of 2210144000 is 4410122.

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 7 ways as a sum of consecutive naturals, for example, 2534 + ... + 66533.

Almost surely, 2^2210144000 is an apocalyptic number.

2210144000 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 2210144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752912344).

2210144000 is an abundant number, since it is smaller than the sum of its proper divisors (3295680688).

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

2210144000 is an frugal number, since it uses more digits than its factorization.

2210144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69098 (or 69074 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2210144000 is about 47012.1686374921. The cubic root of 2210144000 is about 1302.5873519837.

Adding to 2210144000 its reverse (4410122), we get a palindrome (2214554122).

The spelling of 2210144000 in words is "two billion, two hundred ten million, one hundred forty-four thousand".