2233633020 has 144 divisors (see below), whose sum is σ = 6535323648. Its totient is φ = 569882880.

The previous prime is 2233633019. The next prime is 2233633081. The reversal of 2233633020 is 203363322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5831749 + ... + 5832131.

It is an arithmetic number, because the mean of its divisors is an integer number (45384192).

Almost surely, 2^2233633020 is an apocalyptic number.

2233633020 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 2233633020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267661824).

2233633020 is an abundant number, since it is smaller than the sum of its proper divisors (4301690628).

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

2233633020 is a wasteful number, since it uses less digits than its factorization.

2233633020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 2233633020 is about 47261.3268963113. The cubic root of 2233633020 is about 1307.1856563541.

Adding to 2233633020 its reverse (203363322), we get a palindrome (2436996342).

The spelling of 2233633020 in words is "two billion, two hundred thirty-three million, six hundred thirty-three thousand, twenty".