2133257376 has 192 divisors, whose sum is σ = 6319555200. Its totient is φ = 626098176.

The previous prime is 2133257297. The next prime is 2133257377. The reversal of 2133257376 is 6737523312.

It is not an unprimeable number, because it can be changed into a prime (2133257377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2759326 + ... + 2760098.

It is an arithmetic number, because the mean of its divisors is an integer number (32914350).

Almost surely, 2^2133257376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159777600).

2133257376 is an abundant number, since it is smaller than the sum of its proper divisors (4186297824).

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

2133257376 is a wasteful number, since it uses less digits than its factorization.

2133257376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its digits is 158760, while the sum is 39.

The square root of 2133257376 is about 46187.1992655974. The cubic root of 2133257376 is about 1287.3039009597.

It can be divided in two parts, 21 and 33257376, that multiplied together give a palindrome (698404896).

The spelling of 2133257376 in words is "two billion, one hundred thirty-three million, two hundred fifty-seven thousand, three hundred seventy-six".