2424406032 has 160 divisors (see below), whose sum is σ = 7231680000. Its totient is φ = 776724480.

The previous prime is 2424406031. The next prime is 2424406063. The reversal of 2424406032 is 2306044242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2424405987 and 2424406005.

It is not an unprimeable number, because it can be changed into a prime (2424406031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5399344 + ... + 5399792.

It is an arithmetic number, because the mean of its divisors is an integer number (45198000).

Almost surely, 2^2424406032 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 2424406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840000).

2424406032 is an abundant number, since it is smaller than the sum of its proper divisors (4807273968).

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

2424406032 is a wasteful number, since it uses less digits than its factorization.

2424406032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2424406032 is about 49238.2578083344. The cubic root of 2424406032 is about 1343.3889920367.

The spelling of 2424406032 in words is "two billion, four hundred twenty-four million, four hundred six thousand, thirty-two".