2123212410 has 144 divisors (see below), whose sum is σ = 6100534440. Its totient is φ = 511948800.

The previous prime is 2123212381. The next prime is 2123212411. The reversal of 2123212410 is 142123212.

It is a happy number.

2123212410 is a `hidden beast` number, since 21 + 23 + 212 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2094984441 + 28227969 = 45771^2 + 5313^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2123212411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2624086 + ... + 2624894.

Almost surely, 2^2123212410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123212410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050267220).

2123212410 is an abundant number, since it is smaller than the sum of its proper divisors (3977322030).

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

2123212410 is a wasteful number, since it uses less digits than its factorization.

2123212410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

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

The square root of 2123212410 is about 46078.3290712673. The cubic root of 2123212410 is about 1285.2801924491.

Adding to 2123212410 its reverse (142123212), we get a palindrome (2265335622).

The spelling of 2123212410 in words is "two billion, one hundred twenty-three million, two hundred twelve thousand, four hundred ten".