2324244146100 has 144 divisors (see below), whose sum is σ = 6770316672000. Its totient is φ = 615616444800.

The previous prime is 2324244146083. The next prime is 2324244146177. The reversal of 2324244146100 is 16414424232.

It is a super-2 number, since 2×2324244146100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31549909 + ... + 31623491.

It is an arithmetic number, because the mean of its divisors is an integer number (47016088000).

Almost surely, 2^{2324244146100} is an apocalyptic number.

2324244146100 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 2324244146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385158336000).

2324244146100 is an abundant number, since it is smaller than the sum of its proper divisors (4446072525900).

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

2324244146100 is a wasteful number, since it uses less digits than its factorization.

2324244146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74310 (or 74303 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 2324244146100 in words is "two trillion, three hundred twenty-four billion, two hundred forty-four million, one hundred forty-six thousand, one hundred".