2401134200 has 48 divisors (see below), whose sum is σ = 5598019680. Its totient is φ = 957807360.

The previous prime is 2401134193. The next prime is 2401134227. The reversal of 2401134200 is 24311042.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 57044 + ... + 89756.

It is an arithmetic number, because the mean of its divisors is an integer number (116625410).

Almost surely, 2^2401134200 is an apocalyptic number.

2401134200 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 2401134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799009840).

2401134200 is an abundant number, since it is smaller than the sum of its proper divisors (3196885480).

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

2401134200 is a wasteful number, since it uses less digits than its factorization.

2401134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33096 (or 33087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2401134200 is about 49001.3693686207. The cubic root of 2401134200 is about 1339.0767755191.

Adding to 2401134200 its reverse (24311042), we get a palindrome (2425445242).

The spelling of 2401134200 in words is "two billion, four hundred one million, one hundred thirty-four thousand, two hundred".