2213290081408 has 128 divisors (see below), whose sum is σ = 5098902186240. Its totient is φ = 937377792000.

The previous prime is 2213290081399. The next prime is 2213290081441. The reversal of 2213290081408 is 8041800923122.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26069748 + ... + 26154508.

It is an arithmetic number, because the mean of its divisors is an integer number (39835173330).

Almost surely, 2^{2213290081408} is an apocalyptic number.

2213290081408 is a gapful number since it is divisible by the number (28) 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 2213290081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549451093120).

2213290081408 is an abundant number, since it is smaller than the sum of its proper divisors (2885612104832).

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

2213290081408 is a wasteful number, since it uses less digits than its factorization.

2213290081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85126 (or 85114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 2213290081408 in words is "two trillion, two hundred thirteen billion, two hundred ninety million, eighty-one thousand, four hundred eight".