2133455360 has 80 divisors (see below), whose sum is σ = 5126531256. Its totient is φ = 851509248.

The previous prime is 2133455351. The next prime is 2133455381. The reversal of 2133455360 is 635543312.

It can be written as a sum of positive squares in 4 ways, for example, as 1694804224 + 438651136 = 41168^2 + 20944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2133455360² = 9103263546225459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2183192 + ... + 2184168.

Almost surely, 2^2133455360 is an apocalyptic number.

2133455360 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 2133455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563265628).

2133455360 is an abundant number, since it is smaller than the sum of its proper divisors (2993075896).

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

2133455360 is an frugal number, since it uses more digits than its factorization.

2133455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 2133455360 is about 46189.3424936965. The cubic root of 2133455360 is about 1287.3437238919.

Adding to 2133455360 its reverse (635543312), we get a palindrome (2768998672).

The spelling of 2133455360 in words is "two billion, one hundred thirty-three million, four hundred fifty-five thousand, three hundred sixty".