2400424224420 has 48 divisors (see below), whose sum is σ = 6721296805440. Its totient is φ = 640102747776.

The previous prime is 2400424224413. The next prime is 2400424224431. The reversal of 2400424224420 is 244224240042.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3851314 + ... + 4430966.

It is an arithmetic number, because the mean of its divisors is an integer number (140027016780).

Almost surely, 2^{2400424224420} is an apocalyptic number.

2400424224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400424224420 is an abundant number, since it is smaller than the sum of its proper divisors (4320872581020).

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

2400424224420 is a wasteful number, since it uses less digits than its factorization.

2400424224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648684 (or 648682 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2400424224420 its reverse (244224240042), we get a palindrome (2644648464462).

The spelling of 2400424224420 in words is "two trillion, four hundred billion, four hundred twenty-four million, two hundred twenty-four thousand, four hundred twenty".