2434442114100 has 144 divisors (see below), whose sum is σ = 7563028185216. Its totient is φ = 602391552000.

The previous prime is 2434442114021. The next prime is 2434442114101. The reversal of 2434442114100 is 14112444342.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434442114101) 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, 2999461 + ... + 3723660.

It is an arithmetic number, because the mean of its divisors is an integer number (52521029064).

Almost surely, 2^{2434442114100} is an apocalyptic number.

2434442114100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434442114100 is an abundant number, since it is smaller than the sum of its proper divisors (5128586071116).

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

2434442114100 is a wasteful number, since it uses less digits than its factorization.

2434442114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723226 (or 6723219 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2434442114100 its reverse (14112444342), we get a palindrome (2448554558442).

The spelling of 2434442114100 in words is "two trillion, four hundred thirty-four billion, four hundred forty-two million, one hundred fourteen thousand, one hundred".