2424022040420 has 48 divisors (see below), whose sum is σ = 5098199638896. Its totient is φ = 968133120000.

The previous prime is 2424022040387. The next prime is 2424022040423. The reversal of 2424022040420 is 240402204242.

It can be written as a sum of positive squares in 8 ways, for example, as 1349449308964 + 1074572731456 = 1161658^2 + 1036616^2 .

It is a super-2 number, since 2×2424022040420² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2424022040420.

It is not an unprimeable number, because it can be changed into a prime (2424022040423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35539550 + ... + 35607690.

It is an arithmetic number, because the mean of its divisors is an integer number (106212492477).

Almost surely, 2^{2424022040420} is an apocalyptic number.

2424022040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424022040420 is an abundant number, since it is smaller than the sum of its proper divisors (2674177598476).

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

2424022040420 is a wasteful number, since it uses less digits than its factorization.

2424022040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70832 (or 70830 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2424022040420 its reverse (240402204242), we get a palindrome (2664424244662).

It can be divided in two parts, 242402 and 2040420, that added together give a palindrome (2282822).

The spelling of 2424022040420 in words is "two trillion, four hundred twenty-four billion, twenty-two million, forty thousand, four hundred twenty".