2984222287728 has 480 divisors, whose sum is σ = 9658485817344. Its totient is φ = 851834880000.

The previous prime is 2984222287723. The next prime is 2984222287757. The reversal of 2984222287728 is 8277822224892.

2984222287728 is a `hidden beast` number, since 2 + 98 + 422 + 22 + 87 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984222287723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290543233 + ... + 290553503.

Almost surely, 2^{2984222287728} 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 2984222287728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829242908672).

2984222287728 is an abundant number, since it is smaller than the sum of its proper divisors (6674263529616).

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

2984222287728 is a wasteful number, since it uses less digits than its factorization.

2984222287728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10476 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 2984222287728 in words is "two trillion, nine hundred eighty-four billion, two hundred twenty-two million, two hundred eighty-seven thousand, seven hundred twenty-eight".