2440254400 has 84 divisors (see below), whose sum is σ = 6151168800. Its totient is φ = 952268800.

The previous prime is 2440254389. The next prime is 2440254449. The reversal of 2440254400 is 44520442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47001 + ... + 84199.

It is an arithmetic number, because the mean of its divisors is an integer number (73228200).

Almost surely, 2^2440254400 is an apocalyptic number.

2440254400 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 2440254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075584400).

2440254400 is an abundant number, since it is smaller than the sum of its proper divisors (3710914400).

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

2440254400 is a wasteful number, since it uses less digits than its factorization.

2440254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37262 (or 37247 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 2440254400 is about 49398.9311625262. The cubic root of 2440254400 is about 1346.3098859872.

Adding to 2440254400 its reverse (44520442), we get a palindrome (2484774842).

The spelling of 2440254400 in words is "two billion, four hundred forty million, two hundred fifty-four thousand, four hundred".