2412444100 has 144 divisors (see below), whose sum is σ = 5905872000. Its totient is φ = 847744000.

The previous prime is 2412444071. The next prime is 2412444103. The reversal of 2412444100 is 14442142.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2412444103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6719721 + ... + 6720079.

It is an arithmetic number, because the mean of its divisors is an integer number (41013000).

Almost surely, 2^2412444100 is an apocalyptic number.

2412444100 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 2412444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936000).

2412444100 is an abundant number, since it is smaller than the sum of its proper divisors (3493427900).

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

2412444100 is a wasteful number, since it uses less digits than its factorization.

2412444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2412444100 is about 49116.6377106577. The cubic root of 2412444100 is about 1341.1759373659.

Adding to 2412444100 its reverse (14442142), we get a palindrome (2426886242).

The spelling of 2412444100 in words is "two billion, four hundred twelve million, four hundred forty-four thousand, one hundred".