2433134040 has 128 divisors (see below), whose sum is σ = 7455628800. Its totient is φ = 635048960.

The previous prime is 2433134029. The next prime is 2433134071. The reversal of 2433134040 is 404313342.

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 2433134040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988869 + ... + 1990091.

It is an arithmetic number, because the mean of its divisors is an integer number (58247100).

Almost surely, 2^2433134040 is an apocalyptic number.

2433134040 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 2433134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727814400).

2433134040 is an abundant number, since it is smaller than the sum of its proper divisors (5022494760).

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

2433134040 is a wasteful number, since it uses less digits than its factorization.

2433134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1573 counting only the distinct ones).

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

The square root of 2433134040 is about 49326.8085324806. The cubic root of 2433134040 is about 1344.9991551613. Note that the first 3 decimals are identical.

Adding to 2433134040 its reverse (404313342), we get a palindrome (2837447382).

The spelling of 2433134040 in words is "two billion, four hundred thirty-three million, one hundred thirty-four thousand, forty".