2210429475468 has 72 divisors (see below), whose sum is σ = 5772678352896. Its totient is φ = 712428242400.

The previous prime is 2210429475389. The next prime is 2210429475469. The reversal of 2210429475468 is 8645749240122.

2210429475468 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 4 + 2 + 94 + 7 + 546 + 8 = 666.

It is a super-2 number, since 2×2210429475468² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2210429475469) 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 23 ways as a sum of consecutive naturals, for example, 446373 + ... + 2149443.

Almost surely, 2^{2210429475468} 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 2210429475468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886339176448).

2210429475468 is an abundant number, since it is smaller than the sum of its proper divisors (3562248877428).

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

2210429475468 is a wasteful number, since it uses less digits than its factorization.

2210429475468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704275 (or 1704270 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2210429475468 in words is "two trillion, two hundred ten billion, four hundred twenty-nine million, four hundred seventy-five thousand, four hundred sixty-eight".