2130407400 has 192 divisors, whose sum is σ = 7328102400. Its totient is φ = 507616000.

The previous prime is 2130407359. The next prime is 2130407413. The reversal of 2130407400 is 47040312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386665 + ... + 392135.

It is an arithmetic number, because the mean of its divisors is an integer number (38167200).

Almost surely, 2^2130407400 is an apocalyptic number.

2130407400 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 2130407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664051200).

2130407400 is an abundant number, since it is smaller than the sum of its proper divisors (5197695000).

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

2130407400 is a wasteful number, since it uses less digits than its factorization.

2130407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2130407400 is about 46156.3365097361. The cubic root of 2130407400 is about 1286.7303773775.

Adding to 2130407400 its reverse (47040312), we get a palindrome (2177447712).

The spelling of 2130407400 in words is "two billion, one hundred thirty million, four hundred seven thousand, four hundred".