2440238400 has 420 divisors, whose sum is σ = 9451319680. Its totient is φ = 615859200.

The previous prime is 2440238389. The next prime is 2440238431. The reversal of 2440238400 is 48320442.

It is a happy number.

2440238400 is a `hidden beast` number, since 24 + 4 + 0 + 238 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2461905 + ... + 2462895.

Almost surely, 2^2440238400 is an apocalyptic number.

2440238400 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 2440238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725659840).

2440238400 is an abundant number, since it is smaller than the sum of its proper divisors (7011081280).

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

2440238400 is a wasteful number, since it uses less digits than its factorization.

2440238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2440238400 is about 49398.7692154369. The cubic root of 2440238400 is about 1346.3069435338.

Adding to 2440238400 its reverse (48320442), we get a palindrome (2488558842).

The spelling of 2440238400 in words is "two billion, four hundred forty million, two hundred thirty-eight thousand, four hundred".