2433049920 has 448 divisors, whose sum is σ = 10021824000. Its totient is φ = 555448320.

The previous prime is 2433049907. The next prime is 2433049999. The reversal of 2433049920 is 299403342.

2433049920 is a `hidden beast` number, since 243 + 304 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2963110 + ... + 2963930.

Almost surely, 2^2433049920 is an apocalyptic number.

2433049920 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 2433049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010912000).

2433049920 is an abundant number, since it is smaller than the sum of its proper divisors (7588774080).

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

2433049920 is an equidigital number, since it uses as much as digits as its factorization.

2433049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2433049920 is about 49325.9558447680. The cubic root of 2433049920 is about 1344.9836549010.

The spelling of 2433049920 in words is "two billion, four hundred thirty-three million, forty-nine thousand, nine hundred twenty".