2144430245100 has 576 divisors, whose sum is σ = 7392548846592. Its totient is φ = 473112576000.

The previous prime is 2144430245093. The next prime is 2144430245137. The reversal of 2144430245100 is 15420344412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1294163472 + ... + 1294165128.

It is an arithmetic number, because the mean of its divisors is an integer number (12834286192).

Almost surely, 2^{2144430245100} is an apocalyptic number.

2144430245100 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 2144430245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696274423296).

2144430245100 is an abundant number, since it is smaller than the sum of its proper divisors (5248118601492).

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

2144430245100 is a wasteful number, since it uses less digits than its factorization.

2144430245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2144430245100 its reverse (15420344412), we get a palindrome (2159850589512).

The spelling of 2144430245100 in words is "two trillion, one hundred forty-four billion, four hundred thirty million, two hundred forty-five thousand, one hundred".