2400418048 has 72 divisors (see below), whose sum is σ = 5764243520. Its totient is φ = 974592000.

The previous prime is 2400417997. The next prime is 2400418057. The reversal of 2400418048 is 8408140042.

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 7 ways as a sum of consecutive naturals, for example, 1203 + ... + 69298.

Almost surely, 2^2400418048 is an apocalyptic number.

2400418048 is a gapful number since it is divisible by the number (28) 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 2400418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882121760).

2400418048 is an abundant number, since it is smaller than the sum of its proper divisors (3363825472).

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

2400418048 is an equidigital number, since it uses as much as digits as its factorization.

2400418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70543 (or 70529 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 2400418048 is about 48994.0613544131. The cubic root of 2400418048 is about 1338.9436331806.

The spelling of 2400418048 in words is "two billion, four hundred million, four hundred eighteen thousand, forty-eight".