2144232400 has 60 divisors (see below), whose sum is σ = 5183280352. Its totient is φ = 852405120.

The previous prime is 2144232383. The next prime is 2144232437. The reversal of 2144232400 is 42324412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48757 + ... + 81643.

Almost surely, 2^2144232400 is an apocalyptic number.

2144232400 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 2144232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591640176).

2144232400 is an abundant number, since it is smaller than the sum of its proper divisors (3039047952).

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

2144232400 is a wasteful number, since it uses less digits than its factorization.

2144232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33068 (or 33057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2144232400 is about 46305.8570809352. The cubic root of 2144232400 is about 1289.5077343749.

Adding to 2144232400 its reverse (42324412), we get a palindrome (2186556812).

The spelling of 2144232400 in words is "two billion, one hundred forty-four million, two hundred thirty-two thousand, four hundred".