2233122400 has 144 divisors (see below), whose sum is σ = 5647326048. Its totient is φ = 861696000.

The previous prime is 2233122391. The next prime is 2233122401. The reversal of 2233122400 is 42213322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233122401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378070 + ... + 3378730.

It is an arithmetic number, because the mean of its divisors is an integer number (39217542).

Almost surely, 2^2233122400 is an apocalyptic number.

2233122400 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 2233122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823663024).

2233122400 is an abundant number, since it is smaller than the sum of its proper divisors (3414203648).

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

2233122400 is a wasteful number, since it uses less digits than its factorization.

2233122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2233122400 is about 47255.9244962999. The cubic root of 2233122400 is about 1307.0860389739.

Adding to 2233122400 its reverse (42213322), we get a palindrome (2275335722).

The spelling of 2233122400 in words is "two billion, two hundred thirty-three million, one hundred twenty-two thousand, four hundred".