2233824828888 has 128 divisors (see below), whose sum is σ = 5922792990720. Its totient is φ = 700843207680.

The previous prime is 2233824828871. The next prime is 2233824828913. The reversal of 2233824828888 is 8888284283322.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78633295 + ... + 78661697.

It is an arithmetic number, because the mean of its divisors is an integer number (46271820240).

Almost surely, 2^{2233824828888} 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 2233824828888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961396495360).

2233824828888 is an abundant number, since it is smaller than the sum of its proper divisors (3688968161832).

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

2233824828888 is a wasteful number, since it uses less digits than its factorization.

2233824828888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31337 (or 31333 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 66.

The spelling of 2233824828888 in words is "two trillion, two hundred thirty-three billion, eight hundred twenty-four million, eight hundred twenty-eight thousand, eight hundred eighty-eight".