2400427344 has 40 divisors (see below), whose sum is σ = 7086976960. Its totient is φ = 685836288.

The previous prime is 2400427343. The next prime is 2400427349. The reversal of 2400427344 is 4437240042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400427343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3571729 + ... + 3572400.

It is an arithmetic number, because the mean of its divisors is an integer number (177174424).

Almost surely, 2^2400427344 is an apocalyptic number.

2400427344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400427344 is an abundant number, since it is smaller than the sum of its proper divisors (4686549616).

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

2400427344 is a wasteful number, since it uses less digits than its factorization.

2400427344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144147 (or 7144141 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 2400427344 is about 48994.1562229619. The cubic root of 2400427344 is about 1338.9453616023.

Adding to 2400427344 its reverse (4437240042), we get a palindrome (6837667386).

The spelling of 2400427344 in words is "two billion, four hundred million, four hundred twenty-seven thousand, three hundred forty-four".