2440450400 has 72 divisors (see below), whose sum is σ = 5965336944. Its totient is φ = 974937600.

The previous prime is 2440450393. The next prime is 2440450409. The reversal of 2440450400 is 40540442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440450409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 873005 + ... + 875795.

It is an arithmetic number, because the mean of its divisors is an integer number (82851902).

Almost surely, 2^2440450400 is an apocalyptic number.

2440450400 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 2440450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982668472).

2440450400 is an abundant number, since it is smaller than the sum of its proper divisors (3524886544).

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

2440450400 is a wasteful number, since it uses less digits than its factorization.

2440450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2440450400 is about 49400.9149712837. The cubic root of 2440450400 is about 1346.3459299988.

Adding to 2440450400 its reverse (40540442), we get a palindrome (2480990842).

The spelling of 2440450400 in words is "two billion, four hundred forty million, four hundred fifty thousand, four hundred".