2400424020 has 36 divisors (see below), whose sum is σ = 7281286740. Its totient is φ = 640113024.

The previous prime is 2400423973. The next prime is 2400424043. The reversal of 2400424020 is 204240042.

2400424020 is a `hidden beast` number, since 2 + 400 + 4 + 240 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 322705296 + 2077718724 = 17964^2 + 45582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400423984 and 2400424002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6667665 + ... + 6668024.

It is an arithmetic number, because the mean of its divisors is an integer number (202257965).

Almost surely, 2^2400424020 is an apocalyptic number.

2400424020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400424020 is an abundant number, since it is smaller than the sum of its proper divisors (4880862720).

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

2400424020 is a wasteful number, since it uses less digits than its factorization.

2400424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335704 (or 13335699 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2400424020 is about 48994.1223005372. The cubic root of 2400424020 is about 1338.9447435656.

Adding to 2400424020 its reverse (204240042), we get a palindrome (2604664062).

The spelling of 2400424020 in words is "two billion, four hundred million, four hundred twenty-four thousand, twenty".