2213174878992 has 960 divisors, whose sum is σ = 8470505472000. Its totient is φ = 522024652800.

The previous prime is 2213174878991. The next prime is 2213174879017. The reversal of 2213174878992 is 2998784713122.

2213174878992 is a `hidden beast` number, since 221 + 3 + 174 + 87 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2213174878991) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 711859134 + ... + 711862242.

It is an arithmetic number, because the mean of its divisors is an integer number (8823443200).

Almost surely, 2^{2213174878992} is an apocalyptic number.

2213174878992 is a gapful number since it is divisible by the number (22) 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 2213174878992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235252736000).

2213174878992 is an abundant number, since it is smaller than the sum of its proper divisors (6257330593008).

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

2213174878992 is a wasteful number, since it uses less digits than its factorization.

2213174878992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3291 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 2213174878992 in words is "two trillion, two hundred thirteen billion, one hundred seventy-four million, eight hundred seventy-eight thousand, nine hundred ninety-two".