2214407235104 has 288 divisors, whose sum is σ = 4916221490880. Its totient is φ = 979800385536.

The previous prime is 2214407235101. The next prime is 2214407235109. The reversal of 2214407235104 is 4015327044122.

It is not an unprimeable number, because it can be changed into a prime (2214407235101) 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 47 ways as a sum of consecutive naturals, for example, 2813731799 + ... + 2813732585.

It is an arithmetic number, because the mean of its divisors is an integer number (17070213510).

Almost surely, 2^{2214407235104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214407235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458110745440).

2214407235104 is an abundant number, since it is smaller than the sum of its proper divisors (2701814255776).

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

2214407235104 is a wasteful number, since it uses less digits than its factorization.

2214407235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 2214407235104 in words is "two trillion, two hundred fourteen billion, four hundred seven million, two hundred thirty-five thousand, one hundred four".