2213922791808 has 1152 divisors, whose sum is σ = 8163146234880. Its totient is φ = 570746953728.

The previous prime is 2213922791771. The next prime is 2213922791813. The reversal of 2213922791808 is 8081972293122.

2213922791808 is a `hidden beast` number, since 2 + 2 + 1 + 392 + 2 + 79 + 180 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9927904785 + ... + 9927905007.

It is an arithmetic number, because the mean of its divisors is an integer number (7086064440).

Almost surely, 2^{2213922791808} is an apocalyptic number.

2213922791808 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 2213922791808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081573117440).

2213922791808 is an abundant number, since it is smaller than the sum of its proper divisors (5949223443072).

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

2213922791808 is a wasteful number, since it uses less digits than its factorization.

2213922791808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2213922791808 in words is "two trillion, two hundred thirteen billion, nine hundred twenty-two million, seven hundred ninety-one thousand, eight hundred eight".