2213134040000 has 280 divisors, whose sum is σ = 5916512484960. Its totient is φ = 816256512000.

The previous prime is 2213134039999. The next prime is 2213134040041. The reversal of 2213134040000 is 404313122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 639078269 + ... + 639081731.

It is an arithmetic number, because the mean of its divisors is an integer number (21130401732).

Almost surely, 2^{2213134040000} is an apocalyptic number.

2213134040000 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 2213134040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958256242480).

2213134040000 is an abundant number, since it is smaller than the sum of its proper divisors (3703378444960).

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

2213134040000 is a wasteful number, since it uses less digits than its factorization.

2213134040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2213134040000 its reverse (404313122), we get a palindrome (2213538353122).

The spelling of 2213134040000 in words is "two trillion, two hundred thirteen billion, one hundred thirty-four million, forty thousand".