2400004260 has 144 divisors (see below), whose sum is σ = 7562646000. Its totient is φ = 615555072.

The previous prime is 2400004241. The next prime is 2400004303. The reversal of 2400004260 is 624000042.

2400004260 is a `hidden beast` number, since 2 + 400 + 0 + 0 + 4 + 260 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49112064 + 2350892196 = 7008^2 + 48486^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 590716 + ... + 594764.

It is an arithmetic number, because the mean of its divisors is an integer number (52518375).

Almost surely, 2^2400004260 is an apocalyptic number.

2400004260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400004260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781323000).

2400004260 is an abundant number, since it is smaller than the sum of its proper divisors (5162641740).

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

2400004260 is a wasteful number, since it uses less digits than its factorization.

2400004260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2400004260 is about 48989.8383340872. The cubic root of 2400004260 is about 1338.8666923262.

The spelling of 2400004260 in words is "two billion, four hundred million, four thousand, two hundred sixty".