2433132240 has 320 divisors, whose sum is σ = 9599385600. Its totient is φ = 505397760.

The previous prime is 2433132239. The next prime is 2433132263. The reversal of 2433132240 is 422313342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2433132240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904177 + ... + 906863.

It is an arithmetic number, because the mean of its divisors is an integer number (29998080).

Almost surely, 2^2433132240 is an apocalyptic number.

2433132240 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 2433132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800).

2433132240 is an abundant number, since it is smaller than the sum of its proper divisors (7166253360).

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

2433132240 is a wasteful number, since it uses less digits than its factorization.

2433132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2433132240 is about 49326.7902868208. The cubic root of 2433132240 is about 1344.9988234904.

Adding to 2433132240 its reverse (422313342), we get a palindrome (2855445582).

The spelling of 2433132240 in words is "two billion, four hundred thirty-three million, one hundred thirty-two thousand, two hundred forty".