2214828729984 has 256 divisors, whose sum is σ = 6577948339200. Its totient is φ = 655682273280.

The previous prime is 2214828729931. The next prime is 2214828730019. The reversal of 2214828729984 is 4899278284122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26730732 + ... + 26813460.

It is an arithmetic number, because the mean of its divisors is an integer number (25695110700).

Almost surely, 2^{2214828729984} is an apocalyptic number.

2214828729984 is a gapful number since it is divisible by the number (24) 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 2214828729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288974169600).

2214828729984 is an abundant number, since it is smaller than the sum of its proper divisors (4363119609216).

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

2214828729984 is a wasteful number, since it uses less digits than its factorization.

2214828729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82963 (or 82951 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 66.

The spelling of 2214828729984 in words is "two trillion, two hundred fourteen billion, eight hundred twenty-eight million, seven hundred twenty-nine thousand, nine hundred eighty-four".