2400204400 has 180 divisors, whose sum is σ = 6414167592. Its totient is φ = 862400000.

The previous prime is 2400204383. The next prime is 2400204403. The reversal of 2400204400 is 44020042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400204403) 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 35 ways as a sum of consecutive naturals, for example, 4888155 + ... + 4888645.

Almost surely, 2^2400204400 is an apocalyptic number.

2400204400 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 2400204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207083796).

2400204400 is an abundant number, since it is smaller than the sum of its proper divisors (4013963192).

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

2400204400 is a wasteful number, since it uses less digits than its factorization.

2400204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400204400 is about 48991.8809600121. The cubic root of 2400204400 is about 1338.9039080006.

Adding to 2400204400 its reverse (44020042), we get a palindrome (2444224442).

The spelling of 2400204400 in words is "two billion, four hundred million, two hundred four thousand, four hundred".