2234430013200 has 1920 divisors, whose sum is σ = 9864808611840. Its totient is φ = 418037760000.

The previous prime is 2234430013187. The next prime is 2234430013223. The reversal of 2234430013200 is 23100344322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8245129065 + ... + 8245129335.

It is an arithmetic number, because the mean of its divisors is an integer number (5137921152).

Almost surely, 2^{2234430013200} is an apocalyptic number.

2234430013200 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 2234430013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932404305920).

2234430013200 is an abundant number, since it is smaller than the sum of its proper divisors (7630378598640).

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

2234430013200 is a wasteful number, since it uses less digits than its factorization.

2234430013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2234430013200 its reverse (23100344322), we get a palindrome (2257530357522).

The spelling of 2234430013200 in words is "two trillion, two hundred thirty-four billion, four hundred thirty million, thirteen thousand, two hundred".