2213432136552 has 512 divisors, whose sum is σ = 7234375680000. Its totient is φ = 548581662720.

The previous prime is 2213432136547. The next prime is 2213432136689. The reversal of 2213432136552 is 2556312343122.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2213432136552.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1555468113 + ... + 1555469535.

It is an arithmetic number, because the mean of its divisors is an integer number (14129640000).

Almost surely, 2^{2213432136552} 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 2213432136552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617187840000).

2213432136552 is an abundant number, since it is smaller than the sum of its proper divisors (5020943543448).

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

2213432136552 is a wasteful number, since it uses less digits than its factorization.

2213432136552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2117 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

Adding to 2213432136552 its reverse (2556312343122), we get a palindrome (4769744479674).

The spelling of 2213432136552 in words is "two trillion, two hundred thirteen billion, four hundred thirty-two million, one hundred thirty-six thousand, five hundred fifty-two".