2401132200 has 96 divisors (see below), whose sum is σ = 7625136960. Its totient is φ = 624678400.

The previous prime is 2401132183. The next prime is 2401132211. The reversal of 2401132200 is 22311042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2401132200.

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 23 ways as a sum of consecutive naturals, for example, 24204 + ... + 73403.

It is an arithmetic number, because the mean of its divisors is an integer number (79428510).

Almost surely, 2^2401132200 is an apocalyptic number.

2401132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401132200 is an abundant number, since it is smaller than the sum of its proper divisors (5224004760).

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

2401132200 is a wasteful number, since it uses less digits than its factorization.

2401132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97667 (or 97658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2401132200 is about 49001.3489610235. The cubic root of 2401132200 is about 1339.0764037289.

Adding to 2401132200 its reverse (22311042), we get a palindrome (2423443242).

The spelling of 2401132200 in words is "two billion, four hundred one million, one hundred thirty-two thousand, two hundred".