2214401080320 has 2112 divisors, whose sum is σ = 9914109004800. Its totient is φ = 448454983680.

The previous prime is 2214401080313. The next prime is 2214401080351. The reversal of 2214401080320 is 230801044122.

2214401080320 is a `hidden beast` number, since 2 + 214 + 40 + 10 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2879584896 + ... + 2879585664.

It is an arithmetic number, because the mean of its divisors is an integer number (4694180400).

Almost surely, 2^{2214401080320} is an apocalyptic number.

2214401080320 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 2214401080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957054502400).

2214401080320 is an abundant number, since it is smaller than the sum of its proper divisors (7699707924480).

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

2214401080320 is a wasteful number, since it uses less digits than its factorization.

2214401080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2214401080320 in words is "two trillion, two hundred fourteen billion, four hundred one million, eighty thousand, three hundred twenty".