2401034234200 has 96 divisors (see below), whose sum is σ = 6380210568960. Its totient is φ = 823170499200.

The previous prime is 2401034234119. The next prime is 2401034234201. The reversal of 2401034234200 is 24324301042.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401034234201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44133015 + ... + 44187385.

It is an arithmetic number, because the mean of its divisors is an integer number (66460526760).

Almost surely, 2^{2401034234200} is an apocalyptic number.

2401034234200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401034234200 is an abundant number, since it is smaller than the sum of its proper divisors (3979176334760).

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

2401034234200 is a wasteful number, since it uses less digits than its factorization.

2401034234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85937 (or 85928 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2401034234200 its reverse (24324301042), we get a palindrome (2425358535242).

The spelling of 2401034234200 in words is "two trillion, four hundred one billion, thirty-four million, two hundred thirty-four thousand, two hundred".