2401433222100 has 72 divisors (see below), whose sum is σ = 7579796507808. Its totient is φ = 582165628800.

The previous prime is 2401433221997. The next prime is 2401433222101. The reversal of 2401433222100 is 12223341042.

It is a happy number.

2401433222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401433222101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363850219 + ... + 363856818.

Almost surely, 2^{2401433222100} is an apocalyptic number.

2401433222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401433222100 is an abundant number, since it is smaller than the sum of its proper divisors (5178363285708).

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

2401433222100 is a wasteful number, since it uses less digits than its factorization.

2401433222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727707065 (or 727707058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2401433222100 its reverse (12223341042), we get a palindrome (2413656563142).

The spelling of 2401433222100 in words is "two trillion, four hundred one billion, four hundred thirty-three million, two hundred twenty-two thousand, one hundred".