2400000008 has 24 divisors (see below), whose sum is σ = 5234694750. Its totient is φ = 1028571264.

The previous prime is 2399999983. The next prime is 2400000011. The reversal of 2400000008 is 8000000042.

It can be written as a sum of positive squares in only one way, i.e., 2221991044 + 178008964 = 47138^2 + 13342^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2399999938 and 2400000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3060833 + ... + 3061616.

Almost surely, 2^2400000008 is an apocalyptic number.

2400000008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2400000008 is an abundant number, since it is smaller than the sum of its proper divisors (2834694742).

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

2400000008 is a wasteful number, since it uses less digits than its factorization.

2400000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122469 (or 6122458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2400000008 is about 48989.7949373132. The cubic root of 2400000008 is about 1338.8659016520.

The spelling of 2400000008 in words is "two billion, four hundred million, eight", and thus it is an aban number.