2214094061424 has 320 divisors, whose sum is σ = 6762367180800. Its totient is φ = 611135400960.

The previous prime is 2214094061423. The next prime is 2214094061441. The reversal of 2214094061424 is 4241604904122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214094061423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509102002 + ... + 509106350.

It is an arithmetic number, because the mean of its divisors is an integer number (21132397440).

Almost surely, 2^{2214094061424} is an apocalyptic number.

2214094061424 is a gapful number since it is divisible by the number (24) 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 2214094061424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381183590400).

2214094061424 is an abundant number, since it is smaller than the sum of its proper divisors (4548273119376).

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

2214094061424 is a wasteful number, since it uses less digits than its factorization.

2214094061424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 2214094061424 its reverse (4241604904122), we get a palindrome (6455698965546).

The spelling of 2214094061424 in words is "two trillion, two hundred fourteen billion, ninety-four million, sixty-one thousand, four hundred twenty-four".