2233889280 has 720 divisors, whose sum is σ = 9664649280. Its totient is φ = 483729408.

The previous prime is 2233889213. The next prime is 2233889297. The reversal of 2233889280 is 829883322.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2233889280² = 9980522630597836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117573111 + ... + 117573129.

It is an arithmetic number, because the mean of its divisors is an integer number (13423124).

Almost surely, 2^2233889280 is an apocalyptic number.

2233889280 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 2233889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832324640).

2233889280 is an abundant number, since it is smaller than the sum of its proper divisors (7430760000).

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

2233889280 is an frugal number, since it uses more digits than its factorization.

2233889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2233889280 is about 47264.0379146767. The cubic root of 2233889280 is about 1307.2356446591.

The spelling of 2233889280 in words is "two billion, two hundred thirty-three million, eight hundred eighty-nine thousand, two hundred eighty".