2218061292288 has 144 divisors (see below), whose sum is σ = 6320763318240. Its totient is φ = 688043327488.

The previous prime is 2218061292253. The next prime is 2218061292331. The reversal of 2218061292288 is 8822921608122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2218061292288.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207556 + ... + 2116412.

It is an arithmetic number, because the mean of its divisors is an integer number (43894189710).

Almost surely, 2^{2218061292288} 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 2218061292288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160381659120).

2218061292288 is an abundant number, since it is smaller than the sum of its proper divisors (4102702025952).

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

2218061292288 is a wasteful number, since it uses less digits than its factorization.

2218061292288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908982 (or 1908968 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 2218061292288 in words is "two trillion, two hundred eighteen billion, sixty-one million, two hundred ninety-two thousand, two hundred eighty-eight".