2213253434400 has 72 divisors (see below), whose sum is σ = 7204139936784. Its totient is φ = 590200915200.

The previous prime is 2213253434389. The next prime is 2213253434437. The reversal of 2213253434400 is 44343523122.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461092066 + ... + 461096865.

It is an arithmetic number, because the mean of its divisors is an integer number (100057499122).

Almost surely, 2^{2213253434400} is an apocalyptic number.

2213253434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213253434400 is an abundant number, since it is smaller than the sum of its proper divisors (4990886502384).

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

2213253434400 is a wasteful number, since it uses less digits than its factorization.

2213253434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922188954 (or 922188941 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 2213253434400 its reverse (44343523122), we get a palindrome (2257596957522).

The spelling of 2213253434400 in words is "two trillion, two hundred thirteen billion, two hundred fifty-three million, four hundred thirty-four thousand, four hundred".