2233075824 has 480 divisors, whose sum is σ = 7979489280. Its totient is φ = 595123200.

The previous prime is 2233075811. The next prime is 2233075843. The reversal of 2233075824 is 4285703322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26904487 + ... + 26904569.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2^2233075824 is an apocalyptic number.

2233075824 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 2233075824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989744640).

2233075824 is an abundant number, since it is smaller than the sum of its proper divisors (5746413456).

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

2233075824 is a wasteful number, since it uses less digits than its factorization.

2233075824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2233075824 is about 47255.4316877965. The cubic root of 2233075824 is about 1307.0769516585.

The spelling of 2233075824 in words is "two billion, two hundred thirty-three million, seventy-five thousand, eight hundred twenty-four".