2351424000 has 320 divisors, whose sum is σ = 8053448832. Its totient is φ = 608256000.

The previous prime is 2351423993. The next prime is 2351424001. The reversal of 2351424000 is 4241532.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (2351424001) 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 31 ways as a sum of consecutive naturals, for example, 7103835 + ... + 7104165.

Almost surely, 2^2351424000 is an apocalyptic number.

2351424000 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 2351424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026724416).

2351424000 is an abundant number, since it is smaller than the sum of its proper divisors (5702024832).

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

2351424000 is an equidigital number, since it uses as much as digits as its factorization.

2351424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2351424000 is about 48491.4837883932. The cubic root of 2351424000 is about 1329.7713817381.

Adding to 2351424000 its reverse (4241532), we get a palindrome (2355665532).

The spelling of 2351424000 in words is "two billion, three hundred fifty-one million, four hundred twenty-four thousand".