2400451200 has 768 divisors, whose sum is σ = 10371360000. Its totient is φ = 548674560.

The previous prime is 2400451181. The next prime is 2400451201. The reversal of 2400451200 is 21540042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2400451201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342921597 + ... + 342921603.

It is an arithmetic number, because the mean of its divisors is an integer number (13504375).

Almost surely, 2^2400451200 is an apocalyptic number.

2400451200 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 2400451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185680000).

2400451200 is an abundant number, since it is smaller than the sum of its proper divisors (7970908800).

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

2400451200 is an frugal number, since it uses more digits than its factorization.

2400451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2400451200 is about 48994.3996799634. The cubic root of 2400451200 is about 1338.9497971701.

Adding to 2400451200 its reverse (21540042), we get a palindrome (2421991242).

The spelling of 2400451200 in words is "two billion, four hundred million, four hundred fifty-one thousand, two hundred".