2213867541888 has 768 divisors, whose sum is σ = 7181233899840. Its totient is φ = 676292198400.

The previous prime is 2213867541877. The next prime is 2213867541901. The reversal of 2213867541888 is 8881457683122.

2213867541888 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 8 + 6 + 7 + 541 + 8 + 88 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5520866488 + ... + 5520866888.

Almost surely, 2^{2213867541888} 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 2213867541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590616949920).

2213867541888 is an abundant number, since it is smaller than the sum of its proper divisors (4967366357952).

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

2213867541888 is a wasteful number, since it uses less digits than its factorization.

2213867541888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 673 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 2213867541888 in words is "two trillion, two hundred thirteen billion, eight hundred sixty-seven million, five hundred forty-one thousand, eight hundred eighty-eight".