2333125440 has 168 divisors, whose sum is σ = 8080324200. Its totient is φ = 617877504.

The previous prime is 2333125423. The next prime is 2333125447. The reversal of 2333125440 is 445213332.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 2290196736 = 6552^2 + 47856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2333125447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426402 + ... + 431838.

Almost surely, 2^2333125440 is an apocalyptic number.

2333125440 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 2333125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040162100).

2333125440 is an abundant number, since it is smaller than the sum of its proper divisors (5747198760).

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

2333125440 is a wasteful number, since it uses less digits than its factorization.

2333125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2333125440 is about 48302.4372055904. The cubic root of 2333125440 is about 1326.3130100590.

Adding to 2333125440 its reverse (445213332), we get a palindrome (2778338772).

The spelling of 2333125440 in words is "two billion, three hundred thirty-three million, one hundred twenty-five thousand, four hundred forty".