2400314000 has 160 divisors (see below), whose sum is σ = 6770400000. Its totient is φ = 822729600.

The previous prime is 2400313991. The next prime is 2400314003. The reversal of 2400314000 is 4130042.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2400314003) 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 31 ways as a sum of consecutive naturals, for example, 684251 + ... + 687749.

It is an arithmetic number, because the mean of its divisors is an integer number (42315000).

Almost surely, 2^2400314000 is an apocalyptic number.

2400314000 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 2400314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200000).

2400314000 is an abundant number, since it is smaller than the sum of its proper divisors (4370086000).

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

2400314000 is an equidigital number, since it uses as much as digits as its factorization.

2400314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2400314000 is about 48992.9994999286. Note that the first 3 decimals coincide. The cubic root of 2400314000 is about 1338.9242870476.

Adding to 2400314000 its reverse (4130042), we get a palindrome (2404444042).

The spelling of 2400314000 in words is "two billion, four hundred million, three hundred fourteen thousand".