2218988287152 has 1440 divisors, whose sum is σ = 8442050299200. Its totient is φ = 555404967936.

The previous prime is 2218988287091. The next prime is 2218988287211. The reversal of 2218988287152 is 2517828898122.

2218988287152 is a `hidden beast` number, since 2 + 218 + 98 + 8 + 287 + 1 + 52 = 666.

It is a super-2 number, since 2×2218988287152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (20643840) is a multiple of the sum of its prime divisors (420).

It is a self number, because there is not a number n which added to its sum of digits gives 2218988287152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7573338718 + ... + 7573339010.

It is an arithmetic number, because the mean of its divisors is an integer number (5862534930).

Almost surely, 2^{2218988287152} 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 2218988287152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221025149600).

2218988287152 is an abundant number, since it is smaller than the sum of its proper divisors (6223062012048).

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

2218988287152 is a wasteful number, since it uses less digits than its factorization.

2218988287152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 63.

The spelling of 2218988287152 in words is "two trillion, two hundred eighteen billion, nine hundred eighty-eight million, two hundred eighty-seven thousand, one hundred fifty-two".