2233059840 has 600 divisors, whose sum is σ = 8890095060. Its totient is φ = 535265280.

The previous prime is 2233059839. The next prime is 2233059847. The reversal of 2233059840 is 489503322.

2233059840 is a `hidden beast` number, since 2 + 23 + 3 + 0 + 598 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2110116096 + 122943744 = 45936^2 + 11088^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2233059795 and 2233059804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233059847) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25090516 + ... + 25090604.

Almost surely, 2^2233059840 is an apocalyptic number.

2233059840 is a gapful number since it is divisible by the number (20) 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 2233059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445047530).

2233059840 is an abundant number, since it is smaller than the sum of its proper divisors (6657035220).

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

2233059840 is an equidigital number, since it uses as much as digits as its factorization.

2233059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2233059840 is about 47255.2625640785. The cubic root of 2233059840 is about 1307.0738330351.

The spelling of 2233059840 in words is "two billion, two hundred thirty-three million, fifty-nine thousand, eight hundred forty".