2210106432 has 224 divisors, whose sum is σ = 6360127488. Its totient is φ = 675569664.

The previous prime is 2210106419. The next prime is 2210106499. The reversal of 2210106432 is 2346010122.

It is a junction number, because it is equal to n+sod(n) for n = 2210106399 and 2210106408.

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 31 ways as a sum of consecutive naturals, for example, 19558408 + ... + 19558520.

Almost surely, 2^2210106432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180063744).

2210106432 is an abundant number, since it is smaller than the sum of its proper divisors (4150021056).

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

2210106432 is a wasteful number, since it uses less digits than its factorization.

2210106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2210106432 is about 47011.7690796677. The cubic root of 2210106432 is about 1302.5799714873.

Adding to 2210106432 its reverse (2346010122), we get a palindrome (4556116554).

The spelling of 2210106432 in words is "two billion, two hundred ten million, one hundred six thousand, four hundred thirty-two".