2210241440 has 96 divisors (see below), whose sum is σ = 5774763456. Its totient is φ = 792668160.

The previous prime is 2210241433. The next prime is 2210241461. The reversal of 2210241440 is 441420122.

2210241440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 119879 + ... + 137081.

It is an arithmetic number, because the mean of its divisors is an integer number (60153786).

Almost surely, 2^2210241440 is an apocalyptic number.

2210241440 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 2210241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887381728).

2210241440 is an abundant number, since it is smaller than the sum of its proper divisors (3564522016).

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

2210241440 is a wasteful number, since it uses less digits than its factorization.

2210241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17302 (or 17294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2210241440 is about 47013.2049535022. The cubic root of 2210241440 is about 1302.6064943633.

Adding to 2210241440 its reverse (441420122), we get a palindrome (2651661562).

The spelling of 2210241440 in words is "two billion, two hundred ten million, two hundred forty-one thousand, four hundred forty".