2440424000 has 112 divisors (see below), whose sum is σ = 6907255680. Its totient is φ = 836697600.

The previous prime is 2440423991. The next prime is 2440424009. The reversal of 2440424000 is 4240442.

It is an interprime number because it is at equal distance from previous prime (2440423991) and next prime (2440424009).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2440424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34211 + ... + 77789.

Almost surely, 2^2440424000 is an apocalyptic number.

2440424000 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 2440424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453627840).

2440424000 is an abundant number, since it is smaller than the sum of its proper divisors (4466831680).

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

2440424000 is an equidigital number, since it uses as much as digits as its factorization.

2440424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43613 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2440424000 is about 49400.6477690323. The cubic root of 2440424000 is about 1346.3410752036.

Adding to 2440424000 its reverse (4240442), we get a palindrome (2444664442).

The spelling of 2440424000 in words is "two billion, four hundred forty million, four hundred twenty-four thousand".