2400422240020 has 72 divisors (see below), whose sum is σ = 5885058553416. Its totient is φ = 820030692096.

The previous prime is 2400422240017. The next prime is 2400422240053. The reversal of 2400422240020 is 200422240042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131265637636 + 2269156602384 = 362306^2 + 1506372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2400422239973 and 2400422240000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4149859 + ... + 4692778.

It is an arithmetic number, because the mean of its divisors is an integer number (81736924353).

Almost surely, 2^{2400422240020} is an apocalyptic number.

2400422240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400422240020 is an abundant number, since it is smaller than the sum of its proper divisors (3484636313396).

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

2400422240020 is a wasteful number, since it uses less digits than its factorization.

2400422240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842937 (or 8842928 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2400422240020 its sum of digits (22), we get a palindrome (2400422240042).

Adding to 2400422240020 its reverse (200422240042), we get a palindrome (2600844480062).

The spelling of 2400422240020 in words is "two trillion, four hundred billion, four hundred twenty-two million, two hundred forty thousand, twenty".