2114441434224 has 80 divisors (see below), whose sum is σ = 6936262915840. Its totient is φ = 604126123200.

The previous prime is 2114441434219. The next prime is 2114441434271. The reversal of 2114441434224 is 4224341444112.

2114441434224 is a `hidden beast` number, since 2 + 1 + 14 + 4 + 414 + 3 + 4 + 224 = 666.

It is a super-2 number, since 2×2114441434224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349607002 + ... + 349613049.

It is an arithmetic number, because the mean of its divisors is an integer number (86703286448).

Almost surely, 2^{2114441434224} is an apocalyptic number.

2114441434224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2114441434224 is an abundant number, since it is smaller than the sum of its proper divisors (4821821481616).

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

2114441434224 is a wasteful number, since it uses less digits than its factorization.

2114441434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699220075 (or 699220063 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 2114441434224 its reverse (4224341444112), we get a palindrome (6338782878336).

The spelling of 2114441434224 in words is "two trillion, one hundred fourteen billion, four hundred forty-one million, four hundred thirty-four thousand, two hundred twenty-four".