2210120640 has 560 divisors, whose sum is σ = 9686373312. Its totient is φ = 465813504.

The previous prime is 2210120639. The next prime is 2210120651. The reversal of 2210120640 is 460210122.

2210120640 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 1 + 20 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358252 + ... + 2359188.

Almost surely, 2^2210120640 is an apocalyptic number.

2210120640 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 2210120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843186656).

2210120640 is an abundant number, since it is smaller than the sum of its proper divisors (7476252672).

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

2210120640 is a wasteful number, since it uses less digits than its factorization.

2210120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2210120640 is about 47011.9201905219. The cubic root of 2210120640 is about 1302.5827627581.

Adding to 2210120640 its reverse (460210122), we get a palindrome (2670330762).

The spelling of 2210120640 in words is "two billion, two hundred ten million, one hundred twenty thousand, six hundred forty".