2130310400 has 108 divisors (see below), whose sum is σ = 5550686400. Its totient is φ = 807229440.

The previous prime is 2130310367. The next prime is 2130310433. The reversal of 2130310400 is 40130312.

It is an interprime number because it is at equal distance from previous prime (2130310367) and next prime (2130310433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112841 + ... + 130359.

Almost surely, 2^2130310400 is an apocalyptic number.

2130310400 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 2130310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775343200).

2130310400 is an abundant number, since it is smaller than the sum of its proper divisors (3420376000).

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

2130310400 is a wasteful number, since it uses less digits than its factorization.

2130310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17564 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2130310400 is about 46155.2857211392. The cubic root of 2130310400 is about 1286.7108482894.

Adding to 2130310400 its reverse (40130312), we get a palindrome (2170440712).

The spelling of 2130310400 in words is "two billion, one hundred thirty million, three hundred ten thousand, four hundred".