2210540640 has 192 divisors, whose sum is σ = 8681541120. Its totient is φ = 459325440.

The previous prime is 2210540611. The next prime is 2210540687. The reversal of 2210540640 is 460450122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2210540640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7056 + ... + 66864.

It is an arithmetic number, because the mean of its divisors is an integer number (45216360).

Almost surely, 2^2210540640 is an apocalyptic number.

2210540640 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 2210540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340770560).

2210540640 is an abundant number, since it is smaller than the sum of its proper divisors (6471000480).

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

2210540640 is a wasteful number, since it uses less digits than its factorization.

2210540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59845 (or 59837 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2210540640 is about 47016.3869305160. The cubic root of 2210540640 is about 1302.6652695829.

Adding to 2210540640 its reverse (460450122), we get a palindrome (2670990762).

The spelling of 2210540640 in words is "two billion, two hundred ten million, five hundred forty thousand, six hundred forty".