2400002424 has 48 divisors (see below), whose sum is σ = 6538961520. Its totient is φ = 795206400.

The previous prime is 2400002401. The next prime is 2400002441. The reversal of 2400002424 is 4242000042.

2400002424 is a `hidden beast` number, since 240 + 0 + 0 + 0 + 2 + 424 = 666.

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

2400002424 is a modest number, since divided by 2424 gives 24 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2400002397 and 2400002406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87777 + ... + 111824.

It is an arithmetic number, because the mean of its divisors is an integer number (136228365).

Almost surely, 2^2400002424 is an apocalyptic number.

2400002424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400002424 is an abundant number, since it is smaller than the sum of its proper divisors (4138959096).

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

2400002424 is a wasteful number, since it uses less digits than its factorization.

2400002424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199780 (or 199773 counting only the distinct ones).

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

The square root of 2400002424 is about 48989.8195955037. The cubic root of 2400002424 is about 1338.8663509157.

Adding to 2400002424 its reverse (4242000042), we get a palindrome (6642002466).

The spelling of 2400002424 in words is "two billion, four hundred million, two thousand, four hundred twenty-four".