2430150400 has 108 divisors (see below), whose sum is σ = 6035801184. Its totient is φ = 968704000.

The previous prime is 2430150383. The next prime is 2430150403. The reversal of 2430150400 is 40510342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430150403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2757960 + ... + 2758840.

It is an arithmetic number, because the mean of its divisors is an integer number (55887048).

Almost surely, 2^2430150400 is an apocalyptic number.

2430150400 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 2430150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017900592).

2430150400 is an abundant number, since it is smaller than the sum of its proper divisors (3605650784).

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

2430150400 is an equidigital number, since it uses as much as digits as its factorization.

2430150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2430150400 is about 49296.5556606139. Note that the first 3 decimals coincide. The cubic root of 2430150400 is about 1344.4491601552.

Adding to 2430150400 its reverse (40510342), we get a palindrome (2470660742).

The spelling of 2430150400 in words is "two billion, four hundred thirty million, one hundred fifty thousand, four hundred".