2484121432100 has 288 divisors, whose sum is σ = 6918185707776. Its totient is φ = 751819161600.

The previous prime is 2484121432087. The next prime is 2484121432103. The reversal of 2484121432100 is 12341214842.

It is not an unprimeable number, because it can be changed into a prime (2484121432103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39554324 + ... + 39617076.

It is an arithmetic number, because the mean of its divisors is an integer number (24021478152).

Almost surely, 2^{2484121432100} is an apocalyptic number.

2484121432100 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 2484121432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459092853888).

2484121432100 is an abundant number, since it is smaller than the sum of its proper divisors (4434064275676).

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

2484121432100 is a wasteful number, since it uses less digits than its factorization.

2484121432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62935 (or 62928 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 2484121432100 its reverse (12341214842), we get a palindrome (2496462646942).

The spelling of 2484121432100 in words is "two trillion, four hundred eighty-four billion, one hundred twenty-one million, four hundred thirty-two thousand, one hundred".