2234442400 has 72 divisors (see below), whose sum is σ = 5529700764. Its totient is φ = 881510400.

The previous prime is 2234442377. The next prime is 2234442421. The reversal of 2234442400 is 42444322.

It can be written as a sum of positive squares in 6 ways, for example, as 1461379984 + 773062416 = 38228^2 + 27804^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39270 + ... + 77530.

Almost surely, 2^2234442400 is an apocalyptic number.

2234442400 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 2234442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764850382).

2234442400 is an abundant number, since it is smaller than the sum of its proper divisors (3295258364).

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

2234442400 is a wasteful number, since it uses less digits than its factorization.

2234442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38354 (or 38341 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2234442400 is about 47269.8889357697. Note that the first 3 decimals coincide. The cubic root of 2234442400 is about 1307.3435280291.

Adding to 2234442400 its reverse (42444322), we get a palindrome (2276886722).

The spelling of 2234442400 in words is "two billion, two hundred thirty-four million, four hundred forty-two thousand, four hundred".