2130430400 has 336 divisors, whose sum is σ = 6333719616. Its totient is φ = 690094080.

The previous prime is 2130430387. The next prime is 2130430403. The reversal of 2130430400 is 40340312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130430403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21963152 + ... + 21963248.

It is an arithmetic number, because the mean of its divisors is an integer number (18850356).

Almost surely, 2^2130430400 is an apocalyptic number.

2130430400 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 2130430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166859808).

2130430400 is an abundant number, since it is smaller than the sum of its proper divisors (4203289216).

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

2130430400 is a wasteful number, since it uses less digits than its factorization.

2130430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2130430400 is about 46156.5856622866. The cubic root of 2130430400 is about 1286.7350078990.

Adding to 2130430400 its reverse (40340312), we get a palindrome (2170770712).

The spelling of 2130430400 in words is "two billion, one hundred thirty million, four hundred thirty thousand, four hundred".