2432145040 has 80 divisors (see below), whose sum is σ = 6117608448. Its totient is φ = 893910528.

The previous prime is 2432145017. The next prime is 2432145041. The reversal of 2432145040 is 405412342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2432144996 and 2432145014.

It is not an unprimeable number, because it can be changed into a prime (2432145041) 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, 226677 + ... + 237163.

Almost surely, 2^2432145040 is an apocalyptic number.

2432145040 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 2432145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058804224).

2432145040 is an abundant number, since it is smaller than the sum of its proper divisors (3685463408).

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

2432145040 is a wasteful number, since it uses less digits than its factorization.

2432145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2432145040 is about 49316.7825390100. The cubic root of 2432145040 is about 1344.8168957908.

Adding to 2432145040 its reverse (405412342), we get a palindrome (2837557382).

The spelling of 2432145040 in words is "two billion, four hundred thirty-two million, one hundred forty-five thousand, forty".