2133145344 has 144 divisors (see below), whose sum is σ = 6407694720. Its totient is φ = 624046080.

The previous prime is 2133145297. The next prime is 2133145361. The reversal of 2133145344 is 4435413312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240639 + ... + 249345.

It is an arithmetic number, because the mean of its divisors is an integer number (44497880).

Almost surely, 2^2133145344 is an apocalyptic number.

2133145344 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 2133145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203847360).

2133145344 is an abundant number, since it is smaller than the sum of its proper divisors (4274549376).

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

2133145344 is a wasteful number, since it uses less digits than its factorization.

2133145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8752 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 2133145344 is about 46185.9864461072. The cubic root of 2133145344 is about 1287.2813655081.

Adding to 2133145344 its reverse (4435413312), we get a palindrome (6568558656).

The spelling of 2133145344 in words is "two billion, one hundred thirty-three million, one hundred forty-five thousand, three hundred forty-four".