2432401152 has 144 divisors (see below), whose sum is σ = 6703011840. Its totient is φ = 782585856.

The previous prime is 2432401151. The next prime is 2432401177. The reversal of 2432401152 is 2511042342.

2432401152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432401151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851158 + ... + 2852010.

Almost surely, 2^2432401152 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 2432401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351505920).

2432401152 is an abundant number, since it is smaller than the sum of its proper divisors (4270610688).

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

2432401152 is an equidigital number, since it uses as much as digits as its factorization.

2432401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2432401152 is about 49319.3790715171. The cubic root of 2432401152 is about 1344.8640985207.

Adding to 2432401152 its reverse (2511042342), we get a palindrome (4943443494).

The spelling of 2432401152 in words is "two billion, four hundred thirty-two million, four hundred one thousand, one hundred fifty-two".