2434001412100 has 72 divisors (see below), whose sum is σ = 5428007335296. Its totient is φ = 946799520000.

The previous prime is 2434001412091. The next prime is 2434001412127. The reversal of 2434001412100 is 12141004342.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320665 + ... + 2229535.

It is an arithmetic number, because the mean of its divisors is an integer number (75388990768).

Almost surely, 2^{2434001412100} is an apocalyptic number.

2434001412100 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 2434001412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714003667648).

2434001412100 is an abundant number, since it is smaller than the sum of its proper divisors (2994005923196).

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

2434001412100 is a wasteful number, since it uses less digits than its factorization.

2434001412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909237 (or 1909230 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2434001412100 its reverse (12141004342), we get a palindrome (2446142416442).

The spelling of 2434001412100 in words is "two trillion, four hundred thirty-four billion, one million, four hundred twelve thousand, one hundred".