2424161640 has 128 divisors (see below), whose sum is σ = 7364367360. Its totient is φ = 638337024.

The previous prime is 2424161617. The next prime is 2424161651. The reversal of 2424161640 is 461614242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2424161598 and 2424161607.

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, 4201032 + ... + 4201608.

It is an arithmetic number, because the mean of its divisors is an integer number (57534120).

Almost surely, 2^2424161640 is an apocalyptic number.

2424161640 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 2424161640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682183680).

2424161640 is an abundant number, since it is smaller than the sum of its proper divisors (4940205720).

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

2424161640 is a wasteful number, since it uses less digits than its factorization.

2424161640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2424161640 is about 49235.7760170387. The cubic root of 2424161640 is about 1343.3438504569.

Adding to 2424161640 its reverse (461614242), we get a palindrome (2885775882).

The spelling of 2424161640 in words is "two billion, four hundred twenty-four million, one hundred sixty-one thousand, six hundred forty".